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What are the respective values of x, y, and z for parallelogram ABCD?


A . 56.31°, 67.38°, 67.38°

B67.38°, 33.69°, 67.38°

C28.15°, 56.31°, 33.69°

D56.31°, 56.31°, 67.38°

What are the respective values of x, y, and z for parallelogram ABCD? A . 56.31 , 67.38 , 67.38 B. 67.38 , 33.69 , 67.38 C. 28.15 , 56.31 , 33.69 D. 56.31 , 56. class=

Verified Answer :

LammettHash

The interior angles of triangle BCD must add up to 180 degrees, so

\(z+2\times56.31=180\implies z=67.38\)

Angles BAD and BCD are congruent (since this is a parallelogram) so \(x=56.31\).

Also because this is a parallelogram, the triangles BCD and ACD are congruent, so angles ABD and CBD are congruent, which means \(y=56.31\).

That leads to the answer of (D)

tamiacrawford457

Answer:

56.31°, 56.31°, 67.38°  


Step-by-step explanation:

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