Angle a and angle B are vertical angles and angle B is a complementary angle with angle c. If m angle a equals 22 degrees write an equation that you could use to solve for m angle C

Answer 1

Vertical angles are always congruent, meaning angle a and angle B both measure 22 degrees. Since angle B is complementary with angle C, this means that the sum of angle B and angle C equals 90 degrees.

So, we can write the equation:

22 + m angle C = 90

Solving for m angle C:

m angle C = 90 - 22
m angle C = 68

Therefore, angle C measures 68 degrees.