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3 years ago

Which statements about the diagram are true? Select three options.

Mathematics

2 answers:

Stella [2.4K]3 years ago

6 0

Answer:

x = 63
z = 117
x + z = 180

Step-by-step explanation:

x is a "corresponding" angle for the one marked 63°. Here, corresponding angles are congruent, so x = 63°.

x and z are "same-side interior angles," so are supplementary. Their sum is 180°. x + z = 180°.

Because x and z are supplementary and z and 63° are supplementary, you know that ...

z = 180° -63°

z = 117°

_____

<em>Comments on the other answer choices</em>

The value of y can be computed using the fact that the sum of angles interior to the triangle is 180°. The unmarked triangle interior angle is a vertical angle to the one labeled 63°, so it is 63°. Then the value of y is ...

y° = 180° -47° -63° = 70° . . . . . . . not 47°

We already know that 63° + y + 47° = 180° and x = 63°. That means ...

x + y + 47° = 180°

so it cannot be true that x+y = 180.

otez555 [7]3 years ago

6 0

Answers are 1,3, and 5

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