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 for m∠C .(2 points) describe as a 7th grader simply and make sure its all and ONLY text.

Answer 1

First, let's remember what complementary angles are. Complementary angles are two angles that add up to 90 degrees.

You know that ∠A and ∠B are vertical angles, which means they are equal. Since m∠A is 22°, that means m∠B is also 22°.

Now, because ∠B is complementary to ∠C, we can write an equation using the information we have.

Since ∠B and ∠C add up to 90 degrees, we can say:

m∠B + m∠C = 90°

Now, we know that m∠B is 22°, so we can substitute that into the equation:

22° + m∠C = 90°

Now we have an equation to help us find m∠C!