Question

in the given figure if PQ parallel to RS, YZ perpendicular to RS and angle X is equal to 143 degree then find angle PXZ and angle XYZ and angle YXZ​

Answer 1

Step-by-step explanation:

PQ||RS. L SZY= 90

L SZX = L SZY+L XZY

143° = 90° + L YZX

143° -90° = L YZX

43° = L YZX

L PXZ = L SZX ( BY ALTERNATE ANGLE)

L PXZ = 143°

L YXZ + L PXZ = 180° (LINEAR PAIR)

L YXZ + 143° = 180°

L YXZ = 180°-143°

L YXZ = 37°

Answer 2

Step-by-step explanation:

SZX = PXZ ( alternate angles)

Hence, PXZ = 143°

XZY = SZX - SZY

XZY = 143 - 90

XZY = 53°

YXZ = 180° - 143° ( linear pair, hence, YXZ+PXZ = 180°)

YXZ = 37°