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1 vote
If n‖m, find m∠1 + m∠2.

If n‖m, find m∠1 + m∠2.-example-1
asked
User Const
by
7.9k points

1 Answer

4 votes

Answer:

80°

Explanation:

You want the sum of angles 1 and 2 in the attached figure where line m ║ line n.

Vertical angles

Vertical angles are congruent. This means angle 1 is 60°, and the unnumbered angle in triangle ABC at vertex A is 20°.

Alternate interior angles

Where a transversal crosses parallel lines, alternate interior angles are congruent. This means angle 2 is congruent with the unnumbered interior angle at A, which we know is 20°.

Angle 1 is 60° and angle 2 is 20°. Their sum is ...

∠1 +∠2 = 60° +20° = 80°

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answered
User Oceanescence
by
8.0k points
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