Question

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 of m<c

Answer 1

Since <a and <b are vertical angles, they are congruent. Thus, m<a = m<b = 22.

Also, <b is a complementary angle with <c, meaning m<b + m<c = 90 degrees.

We can use these two equations to solve for m<c. Adding the equations:

22 + m<c = 90

Simplifying:

m<c = 90 - 22

Therefore, the equation to solve for m<c is:

m<c = 68