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21 votes
21 votes
What is the measure of
angle x?
Enter your answer in the box.
X =

What is the measure of angle x? Enter your answer in the box. X =-example-1
User Mojiiz
by
2.6k points

1 Answer

19 votes
19 votes

Answer:

x = 48°

Explanation:

Complementary angles

Angles that sum to 90°.

Vertical Angle Theorem

When two straight lines intersect, the vertical angles are congruent (equal).

Therefore, angle x is equal to the angle that is complementary to 42°.

To find x, subtract 42° from 90°:

⇒ x = 90° - 42°

x = 48°

What is the measure of angle x? Enter your answer in the box. X =-example-1
User Pacheco
by
2.8k points