Question

Find the measure of unknown angle​

Answer 1

x = 44°, y = 34°, z = 102°

Explanation:

The opposite angles of a parallelogram are congruent , then

∠ z = 102°

Consecutive angles are supplementary , then

x + 34° + 102° = 180°

x + 136° = 180° ( subtract 136° from both sides )

x = 44°

∠ y = 34° ( alternate angle

Answer 2

Explanation:

z = 102 degree (opposite angles of a parallelogram are equal)

z + x + 34 = 180 degree 9sum of adjacent angles of a parallelogram is 180 degree)

102 + x + 34 = 180

x = 180 - 136

x = 44 degree

y + 102 + x = 180 degree (sum of interior angles of a triangle is 180 degree)

y + 102 + 44 = 180

y = 180 - 146

y = 34 degree