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18 votes
18 votes
Find each measure,

What is the measure of angle 1
What is the measure of angle 2
What is the measure of angle 3
(Must show equation and steps so I can understand)

Find each measure, What is the measure of angle 1 What is the measure of angle 2 What-example-1
User Esmaeel Ibrahim
by
2.3k points

2 Answers

20 votes
20 votes
Angle 1: 137 degrees
Angle 2: 47 degrees
Angle 3: 17 degrees
User Brian Minton
by
3.1k points
15 votes
15 votes

Answer:

Angle 1: 137 degrees

Angle 2: 47 degrees

Angle 3: 17 degrees

Explanation:

To find angle 1, we must look at the supplementary pair given to us. One angle is 43 degrees. If we remember, a supplementary pair adds up to 180 degrees. To find angle 1, simply subtract 43 from 180 to get 137 degrees.

Equation: 180-43

To find angle 2, we must remember that all interior angles in a triangle add up to 180 degrees. We have two angles given, a right angle (90 degrees) and 43 degrees. Subtract 43+90 from 180 to get 47 degrees.

Equation: 180-43-90

To find angle 3, use the information gained from finding angle 1 (137 degrees) and the given angle (26 degrees) and subtract both measurements from 180. Doing this gets 17 degrees.

Equation: 180-137-26.

Hope this helped!

User Eric Nelson
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3.2k points