Question

In the following parallelograms, find the measures of the angles marked as x, y, Z.
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Answer 1

Answer:

y = 105° , x = 75° , z = 75°

Step-by-step explanation:

=> y = 105° ( opposite angles are equal in parallelogram)

x+y=180° (sum of co-interior angles is 180°)

105°+y=180°

y=180°-105°

=> y = 75°

y=z ( opposite angles are equal in parallelogram)

=> z=75°

Answer 2

Answer:

<x=105°, <y=105°, <z=75°

Step-by-step explanation:

105°+ <z = 180° (Adjacent angles are supplement)

<z = 180° - 105°

105°+ <z = 180°

<z =75°

<x = <z = 75° (opposite angles are equal)

<x = 75°

<y = 105° ( opposite angles are equal)