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°, 56.31°, 67.38°

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

[tex]z+2\times56.31=180\implies z=67.38[/tex]

Angles BAD and BCD are congruent (since this is a parallelogram) so [tex]x=56.31[/tex].

Also because this is a parallelogram, the triangles BCD and ACD are congruent, so angles ABD and CBD are congruent, which means [tex]y=56.31[/tex].

That leads to the answer of (D)

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tamiacrawford457 tamiacrawford457 · Answer 2 · 2019-05-20T17:30:56+02:00

tamiacrawford457 tamiacrawford457

20-05-2019

Answer:

56.31°, 56.31°, 67.38°

Step-by-step explanation:

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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°, 56.31°, 67.38°

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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°, 56.31°, 67.38°