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vesna_86 [32]
3 years ago
11

Given the figure below, find the values of x and z.

Mathematics
1 answer:
aleksandrvk [35]3 years ago
7 0

Answer: x = 2 and z=78

Step-by-step explanation:

Opposite angles are non-adjacent angles formed by two intersecting lines. Opposite angles are congruent (equal in measure). Z is Opposite to 78 angle, so z=78.

Adjacent angles add up to 180 degrees, and 78 and (5x + 92) are adyacents so:

5x + 92 + 78 = 180

5x + 170 = 180

5x = 180 - 170

5x = 10

x = 10/5

x = 2

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