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3 years ago

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

Mathematics

2 answers:

gogolik [260]3 years ago

8 0

Answer:

Hello,

If we look at the solution we can calculate this very easily

A is 40

B is 121

C=y

D=x

THe answer

x=46

y=13

z= 116

Step-by-step explanation:

mylen [45]3 years ago

7 0

9514 1404 393

Answer:

x = 59°
y = 40°
z = 81°

Step-by-step 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°

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

∠CDA +∠BAD = 180°

x° + 121° = 180°

x° = 180° -121°

x° = 59°

Alternate interior angles are congruent, so ...

y° = 40°

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