KR6. Two lines PQ and RS intersect at O. If ZROT = 45°, findthe measu

1.	KR6. Two lines PQ and RS intersect at O. If ZROT = 45°, findthe measures of all other angles.4y2x
Answer» 2x = 4y(vertically opposite angles)x = 2y............... (1) 2x + y + 45 = 180(Linear Pair) Put value of x from eq(1)22y + y = 180 - 455y = 135y = 135/5 = 27°.......... (2) x = 2y = 227 = 54° z = 45 + y(vertically opposite angles) Put value of y from eq(2)z = 45 + 27 = 72°

KR6. Two lines PQ and RS intersect at O. If ZROT = 45°, findthe measures of all other angles.4y2x

Answer»

2x = 4y(vertically opposite angles)x = 2y............... (1)

2x + y + 45 = 180(Linear Pair)

Put value of x from eq(1)2*2y + y = 180 - 455y = 135y = 135/5 = 27°.......... (2)

x = 2y = 2*27 = 54°

z = 45 + y(vertically opposite angles)

Put value of y from eq(2)z = 45 + 27 = 72°