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Use the figure to find the measures of the numbered angles?

Use the figure to find the measures of the numbered angles?-example-1
User Donarsson
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1 Answer

8 votes
61 degrees = angles 1, 3, 6
119 degrees = angles 2, 4, 5, 7

The red angle is vertical to angle 6. Since vertical angles are congruent, angle 6 = 61.

The red angle corresponds to angle 1, and angle 6 corresponds to angle 3. Since corresponding angles are congruent, angle 1 and angle 3 = 61.

The red angle and angle 4 are consecutive interior angles, which are supplementary. So 180 - 61 means angle 4 is 119.

4 and 2 are vertical so angle 2 is 119

4 and 7 are corresponding and 2 and 5 are corresponding so 7 and 5 are 119.
User Andrei V
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