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kenny6666 [7]
3 years ago
11

Find the measure of each angle indicated. A) 95° C) 26° B) 92° D) 20°

Mathematics
2 answers:
oksian1 [2.3K]3 years ago
8 0

Answer:

<em>(C). 26°</em>

Step-by-step explanation:

riadik2000 [5.3K]3 years ago
6 0

Answer:

D) 20°

Step-by-step explanation:

Using the triangle sum theorem, you know that every triangle's interior angles add up to 180°. Therefore the bottom triangle's missing angle can be found by giving it the variable x.

57° + 30° + x = 180°

Simplify: 87° + x =180°

x=93°

By the vertical angles theorem, the vertical angle directly across this angle is congruent to this one. Meaning that the top triangle's angle are 67°, 93°, and unknown, which we can assign y. We can use the same method from above here.

67° + 93° + y = 180°

Simplify: 160° + y = 180°

y=20°

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