what si the answer

Question

Angles A and B are vertical angles. Angle A is 3.5 times some number, x, and Angle B is 26.25 degrees. What is the value of x?

Answer 1

The measure of angle A equals the measure of angle B because vertical angles are congruent.

Since A = 3.5x and m<A = m<B we can substitute 26.25 for A in that equation.

26.25 = 2.5x

x = 26.25/2.5 = 10.5