bot 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)
Since ∠A and ∠B are vertical angles, they are congruent. Therefore, m∠A = m∠B = 22°.
Also, since ∠B is complementary to ∠C, the following equation holds true: m∠B + m∠C = 90°.
Substituting the given values, we have: 22° + m∠C = 90°.
This equation can be used to solve for m∠C.
make it seem like a 7th grader wrote it
So, like, there's this diagram, right? And there are two angles called ∠A and ∠B. They're called vertical angles, which means they're kind of opposite each other and have the same measure. So, if m∠A is 22 degrees, then m∠B is also 22 degrees.
Now, ∠B is also called a complementary angle with ∠C. That means if you add up the measures of ∠B and ∠C, you get 90 degrees. So, we can write an equation like this: m∠B + m∠C = 90.
And since we know m∠B is 22 degrees, we can substitute that in the equation: 22 + m∠C = 90.
Now we can solve it to find m∠C.