asked 170k views
0 votes
24°
Solve for c.
= [?]°
C =
60% C
Enter

24° Solve for c. = [?]° C = 60% C Enter-example-1

1 Answer

1 vote

Answer:

96°

Explanation:

You want the value of angle C in the diagram with two parallel lines and a triangle between them.

Angle sum theorem

The sum of angles in a triangle is 180°, so the missing angle in the triangle is ...

180° -60° -24° = 96°

Alternate interior angles

Angle C and the one we just found are alternate interior angles with respect to the parallel lines and the transversal that forms those angles. As such, they are congruent:

C = 96°

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answered
User Ackelry Xu
by
8.6k points
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