The larger of two supplementary angles exceeds thrice the smaller by 20 degrees. Find them.

Asked by Last Modified  

6 Answers

Learn Mathematics +1

Follow 8
Answer

Please enter your answer

Chandrakanth

Engineering Tutor

Larger angle X Smaller angle Y We have X+Y=180..(1) larger angle exceeds thrice smaller by 20 ∴X=3Y+20..(2) Solving (1)&(2) X+Y=180 X-3Y=20 4Y=160⇒Y=40... smaller angle ∴larger angle X=140 Tq.
read more
Larger angle X Smaller angle Y We have X+Y=180..(1) larger angle exceeds thrice smaller by 20 ∴X=3Y+20..(2) Solving (1)&(2) X+Y=180 X-3Y=20 4Y=160⇒Y=40... smaller angle ∴larger angle X=140 Tq. read less
Comments
Dislike Bookmark

Maths Trainer with 23 years of experience

Let first angle = x And second number = y As both angles are supplementary so that sum will 180 x + y = 180 x = 180 - y ... (1) Difference is 18 degree so that x -- y = 18 Plug the value of x we get 180-- y -- y = 18 - 2 y = -162 y...
read more
Let first angle = x And second number = y As both angles are supplementary so that sum will 180 x + y = 180 x = 180 - y ... (1) Difference is 18 degree so that x – y = 18 Plug the value of x we get 180– y – y = 18 - 2 y = -162 y = -162/-2 y = 81 Plug the value back in equation first we get x = 180 – 81 = 99 read less
Comments
Dislike Bookmark

Tutor

Let x and y be Larger angle and smaller angle of two suplimentary angles respectively I.e., x+y=180 also given x-3y=20 Now solving (x+y)-(x-3y)=180-20 4y=160 Y=160/4=40 X=180-40=140
Comments
Dislike Bookmark

Two angle are supplementary, hence the sum of two angles is 180deg. Let the larger angle be A, then the other angle will be 180-A As given, A=3(180-A)+20 A=540-3A+20 4A = 560 A=140 Hence, the larger angle is 140deg and the smaller angle is 40deg. A = 72.5
Comments
Dislike Bookmark

Eco, Maths and Stats Tutor

x=3y+20 and x+y=180. So, y=40 and x= 140
Comments
Dislike Bookmark

Math magician

If smaller angle =X , then larger = 3X +20 . so X + 3X +20 = 180 , or 4X +20 = 180 or 4X = 160, then X = 40 smaller angle ,and larger angle =140 , answer
Comments
Dislike Bookmark

View 4 more Answers

Related Questions

How can I study like class 10 in class 9 so that I get a habit?
Spend time in studying your subjects daily . Don't postpone to the next day .cover all the portions don't omit any topics or chapters . This will help you to score good marks in 10 th .
Mohammad
0 0
6
What books should be preferred by us in 10th board exam?
I prefer S.Chand for science & for 10th board question practice I advise you to continue with NCERT books. For Maths R.D. Sharma is the best alternative as it contains lots of variety of question with...
Sarvesh
How can I get good score in class 10?
For getting good score regular study is very important.Study start from the beginning of syllabus given.First understand topic and remind it and recall your memory.When the examination come near study...
Raj
What do you mean by Median?
Median is one of the way to find out the average of list of numbers. The list should be in ascending or descending order.
Rishu
Factorize: (m * n) + (p * n) + m * q + p * q?
Step 1: Group terms like they’re forming a band: Step 2: Factor common stuff: Step 3: Combine like a Bollywood duo:
Jagabandhu

Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com

Ask a Question

Related Lessons

Class-10 L-4 Quadratic Equations Ex-4.2 Q6

Ashish bhatia

0 0
0
Class-10 L-5 Arithmetic Progressions Ex-5.2 Q13

Ashish bhatia

0 0
0
Class-10 L-5 Arithmetic Progressions Ex-5.2 Q3 (v)

Ashish bhatia

0 0
0
Class-9-Maths L-9 Circles Ex 9.3 Q2

Ashish bhatia

0 0
0
RATIONAL NUMBERS

Vikas mehra

0 0
0

Recommended Articles

Meet Mohammad Wazid, a skilled trainer for...

Mohammad Wazid is a certified professional tutor for class 11 students. He has 6 years of teaching experience which he couples with an energetic attitude and a vision of making any subject easy for the students. Over the years he has developed skills with a capability of understanding the requirements of the students. This...

Read full article >

Meet Sandhya R, a B.Sc tutor from Bangalore

Sandhya is a proactive educationalist. She conducts classes for CBSE, PUC, ICSE, I.B. and IGCSE. Having a 6-year experience in teaching, she connects with her students and provides tutoring as per their understanding. She mentors her students personally and strives them to achieve their goals with ease. Being an enthusiastic...

Read full article >

Meet Swati, a Hindi Tutor from Bangalore

Swati is a renowned Hindi tutor with 7 years of experience in teaching. She conducts classes for various students ranging from class 6- class 12 and also BA students. Having pursued her education at Madras University where she did her Masters in Hindi, Swati knows her way around students. She believes that each student...

Read full article >

Quest Academy - Institute of the month

Quest Academy is a professional Bangalore based NEET and JEE (Main + Advanced) training institute. The academy was incorporated in 2015 to cater to the needs of students, who aim to crack competitive exams by connecting with the best brains around. The institute helps students enhance their skills and capabilities through...

Read full article >

Find Class 10 Tuition near you
Class 10 Tuition in Delhi
Class 10 Tuition in Bangalore
Class 10 Tuition in Hyderabad
Class 10 Tuition in Kolkata
Class 10 Tuition in Chennai
Class 10 Tuition in Mumbai
Class 10 Tuition in Pune
Class 10 Tuition in Noida
Class 10 Tuition in Lucknow
Class 10 Tuition in Gurgaon
Online Tuition Class 10

Looking for Class 10 Tuition ?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you