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Lines and Angles EXERCISE 6.1 Solutions
- Q1: In Fig. 6.13, lines AB and CD intersect at O. If $\angle AOC + \angle BOE = 70^{\circ}$ and $\angle BOD = 40^{\circ}$, find $\angle BOE$ and reflex $\angle COE$.
- Q2: In Fig. 6.14, lines XY and MN intersect at O. If $\angle POY = 90^{\circ}$ and $a : b = 2 : 3$, find $c$.
- Q3: In Fig. 6.15, $\angle PQR = \angle PRQ$, then prove that $\angle PQS = \angle PRT
- Q4: In Fig. 6.16, if $x + y = w + z$, then prove that AOB is a line.
- Q5: In Fig. 6.17, POQ is a line. Ray OR is perpendicular to line PQ. OS is another ray lying between rays OP and OR. Prove that $\angle ROS = \frac{1}{2} (\angle QOS - \angle POS)$.
- Q6: It is given that $\angle XYZ = 64^{\circ}$ and XY is produced to point P. Draw a figure from the given information. If ray YQ bisects $\angle ZYP$, find $\angle XYQ$ and reflex $\angle QYP$.
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