In a diagram, A and B are vertical angles, and B is a complementary angle with C. If m A = 22°, write an equation that you can use to solve for m C?
Since A and B are vertical angles, they have the same measure. Thus, m(A) = m(B) = 22°.
Also, B is a complementary angle with C, meaning that the sum of the measures of angle B and angle C is 90°. This can be written as:
m(B) + m(C) = 90°
Substituting m(B) = 22° into the equation:
22° + m(C) = 90°
Thus, the equation that can be used to solve for m(C) is:
m(C) = 90° - 22°
m(C) = 68°