In diagram a and b are vertical angles and b is a complementary angle with c. if ma =22 degress write and equation that you can use to solve for m c.

Answer 1

Since a and b are vertical angles, they are congruent, meaning that ma = mb = 22 degrees.

Since b and c are complementary angles, they add up to 90 degrees. Therefore, we can write the equation:

mb + mc = 90

Substituting mb with 22, we get:

22 + mc = 90

Now we can solve for mc by subtracting 22 from both sides of the equation:

mc = 90 - 22

Simplifying, we find:

mc = 68

So, mc is equal to 68 degrees.