Question

Side and angle properties of a parallelogram (level 2). NO LINKS!!!

Find the value of x, y, and z.​

Answer 1

9514 1404 393

Answer:

• x = 59°
• y = 40°
• z = 81°

Explanation:

The marked external angle at B is "corresponding" to the internal angle BAD, so is the same measure. This means ...

z° +40° = 121°

z° = 81°

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Adjacent angles of a parallelogram are supplementary, so ...

∠CDA +∠BAD = 180°

x° + 121° = 180°

x° = 180° -121°

x° = 59°

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Alternate interior angles are congruent, so ...

y° = 40°