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34 votes
34 votes
Question 1-20
Determine mzi.

1
33°
83°

Question 1-20 Determine mzi. 기 1 33° 83°-example-1
User MrWonderful
by
3.0k points

1 Answer

10 votes
10 votes

Answer:


m < 1 = 116 \: degrees

Explanation:

To find m < 1 we have to first acknowledge that a triangle measures 180°. You should also note that a straight line also measures 180°. Therefore the third unknown angle in the triangle would be:


180 - (33 + 83 = 116) \\ 180 - 116 = 64\\ unknown \: angle \: is \: 64° \\

Since the unknown angle and m < 1 form a straight line then that means that they add together to make 180°. Hence


m < 1 = 180 - 64 \\ m < 1 = 116°

User Elliot Foster
by
2.8k points