Answer:
Step-by-step explanation:
x is a "corresponding" angle for the one marked 63°. Here, corresponding angles are congruent, so x = 63°.
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x and z are "same-side interior angles," so are supplementary. Their sum is 180°. x + z = 180°.
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Because x and z are supplementary and z and 63° are supplementary, you know that ...
z = 180° -63°
z = 117°
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<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°
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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.
