Question

If <2 is equivalent to (2x-8)• what is the value of c?

A 62•
B 35•
C 28•
D 18•

Answer 1

Answer: 18 (choice D)

Reason:

`\angle 1 = 62^(\circ)` because of the vertical angles theorem.

Then angle 1 and angle 2 add to 90 degrees (the angles are complementary).

`\angle 1 + \angle 2 = 90\\\\62 + (2x-8) = 90\\\\2x + 54 = 90\\\\2x = 90 - 54\\\\2x = 36\\\\x = 36/2\\\\x = 18\\\\`