83,253 views
12 votes
12 votes
Use this image to find the measure of angles 1, 2, and 3.

Use this image to find the measure of angles 1, 2, and 3.-example-1
User Roger Sobrado
by
2.9k points

2 Answers

11 votes
11 votes

Answer:

∠ 1 = ∠ 3 = 63° , ∠ 2 = 117°

Explanation:

∠ 2 and 117° are vertically opposite angles and are congruent , then

∠ 2 = 117°

∠ 1 and 117° are adjacent angles on a straight line and sum to 180°

∠ 1 + 117° = 180° ( subtract 117° from both sides )

∠ 1 = 63°

∠ 1 and ∠ 3 are vertically opposite angles and are congruent , then

∠ 3 = 63°

User Stephen Newman
by
2.6k points
24 votes
24 votes
angle 2 = 103° (vertically opposite angles)
angle 1 = angle 3 = 77° (vertically opposite angles)
User Wolfi
by
2.7k points
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