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 .(2 points)
format: 22+BLANK=90
no solve the question and show why
If angles A and B are vertical angles, it means they are opposite each other when two lines intersect. Therefore, ∠A and ∠B are congruent, so m∠A = m∠B = 22°.
Given that ∠B is a complementary angle with ∠C, it means that the sum of ∠B and ∠C is 90°. Therefore, we can write the equation as:
m∠B + m∠C = 90°
Since m∠B = 22°, the equation becomes:
22° + m∠C = 90°