Question

find the value of X, YandZ in the following parallelogram.​

Answer 1

B1 = Z

Z = 35°

B2 = Z'

Z' = 25°

X + Z' + 110° = 180°

X + 25° + 110° = 180°

X + 135° = 180°

X = 180° - 135°

X = 45°

B1 + B2 = 35° + 25° = 60°

X + A' = 60° {all the angles of a parallelogram are equal}

therefore 45° + A = 60°

A = 60° - 45° = 15°

A' = Y

Y = 15°

ANSWER : -

X = 45°

Y = 15°

Z = 35°