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

Find the measure of each angle indicated. A) 95° C) 26° B) 92° D) 20°-example-1
User Uri Shtand
by
2.9k points

2 Answers

18 votes
18 votes

Answer:

D) 20°

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°

User Ostap Gonchar
by
3.2k points
20 votes
20 votes

Answer:

(C). 26°

Explanation:

Find the measure of each angle indicated. A) 95° C) 26° B) 92° D) 20°-example-1
User Sonnuforevis
by
2.2k points