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32 votes
32 votes
What is the measure of angle 8?

What is the measure of angle 8?-example-1
User Lars Mertens
by
2.7k points

2 Answers

23 votes
23 votes

Answer:

32°

Explanation:

We know that the exterior angle of the triangle is equal to the sum of the interior opposite angles.

Therefore,

< 1 + < 8 = 122°

Also, given that,

<1 = 90°

So,

< 1 + < 8 = 122°

90° + < 8 = 122

< 8 = 32°

What is the measure of angle 8?-example-1
User Gianluca Casati
by
3.7k points
14 votes
14 votes

Answer:

32

Explanation:

First, let's find angle 6 as we will need that to find angle 8.

angle 6 = 180 - 122 = 58(straight line angles equal to 180)

now sum of angles in a triangle = 180

so angle 8 = 180 - 90 - 58

= 32

Hope it helps:)

User Beginner
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2.5k points