Since ∠A and ∠B are vertical angles, they must be equal. Therefore, m∠A = m∠B = 22°.
Since ∠B and ∠C are complementary angles, the sum of their measures is 90°. Therefore, m∠B + m∠C = 90°.
Substitute the values of m∠A and m∠B into the equation:
22° + m∠C = 90°
Simplify the equation to solve for m∠C:
m∠C = 90° - 22°
m∠C = 68°
So, the equation used to solve for m∠C is:
m∠C = 90° - m∠A
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
1 answer
1 answer