Find the measure of unknown angle
2 answers:
Answer:
x = 44°, y = 34°, z = 102°
Step-by-step 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:
Step-by-step 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
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