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

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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.

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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

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