In a diagram, <A and <B are vertical angles, and <B is a complementary angle with <C.

Question

If m <A = 22°, write an equation that you can use to solve for m<C.

Answer 1

Since angle B is complementary to angle C, we know that angle B + angle C = 90 degrees.
We also know that angle A and angle B are vertical angles, meaning they are congruent (have the same measure).
Therefore, m <A = m <B = 22°.
Using these values, we can write the equation:
(m <B) + (m <C) = 90
Substituting m <B = 22°, we get:
22 + (m <C) = 90
This equation can be used to solve for m <C.

Answer 2

Are you sure this is the right answer

Answer 3

Apologies for the confusion in the previous response. Let's correct the equation.

As given, angle A is 22° and angle B is complementary to angle C. This means angle B + angle C equals 90°.

Since angle A and angle B are vertical angles, they have the same measure. Therefore, angle A = angle B = 22°.

To find angle C, we can use the equation:
angle B + angle C = 90

Substituting the values we know:
22 + angle C = 90

To solve for angle C, we need to isolate it:
angle C = 90 - 22
angle C = 68°

Therefore, angle C measures 68°.

Answer 4

is the equation any different

Answer 5

I apologize for the confusion in my previous response. The equation mentioned is indeed correct. Here it is again:

Since angle B is complementary to angle C, we know that angle B + angle C = 90 degrees.
We also know that angle A and angle B are vertical angles, meaning they have the same measure.

The equation can be written as:
m <B + m <C = 90

Substituting m <B = m <A = 22°, we get:
22 + m <C = 90

This equation can be used to solve for m <C.