Question

In a diagram angle A and angle B are vertical angles , and angle B is a complementary angle with angle C. If angle A equals 22 write an equation that you can use to solve for angle C

Answer 1

In this scenario, we can use the fact that vertical angles are equal and complementary angles add up to 90 degrees.

Therefore, we can define the following relationships based on the information given:

Angle A = Angle D (vertical angles are equal)

Angle B = 90 - Angle C (complementary angles add up to 90 degrees)

Given that Angle A = 22, we can substitute these relationships into the equation:

22 = 90 - C

Solving for C, we get:

C = 90 - 22
C = 68

Therefore, the equation to solve for angle C is:

90 - C = 22