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In the figure, find the value of x that makes a ∥ b. A. 50° B. 65° C. 75° D. 95°

In the figure, find the value of x that makes a ∥ b. A. 50° B. 65° C. 75° D. 95°-example-1
User Tarun Modi
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1 Answer

5 votes

Answer:

B

Explanation:

Because alternate interior angles are congruent in parallel lines, the angle next to the 25° in the right triangle is 85 - 25 = 60° which makes the other angle in the right triangle 180 - 90 - 60 = 30°. Since they form a straight angle, we can write x + 30 + 85 = 180 → x + 115 = 180 → x = 65°.

User Jake Opena
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