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 for m<C
Since <A and <B are vertical angles, they are congruent. So, M<B = M<A = 22.
Since <B and <C are complementary angles, their measures add up to 90 degrees. So, M<B + M<C = 90.
Substituting M<B = 22 into the equation, we have:
22 + M<C = 90.
Simplifying the equation, we get:
M<C = 90 - 22.
Therefore, the equation that can be used for M<C is:
M<C = 68.