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 .

Question

Write it like a 13 year old wrote it in formal language

Answer 1

In the given situation, since ∠A and ∠B are vertical angles, they are equal. Therefore, we can say that:

m∠A = m∠B

Since m∠A = 22°, we can write:

m∠B = 22°

Next, ∠B is complementary to ∠C, which means that the sum of their measures is 90°. We can express this relationship with the following equation:

m∠B + m∠C = 90°

Now we can substitute the value of m∠B into the equation:

22° + m∠C = 90°

This is the equation we can use to solve for m∠C.