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 ...
Since angles A and B are vertical angles, they have the same measure. Therefore, m∠B = 22°.
∠B is also a complementary angle with ∠C. Complementary angles add up to 90°.
Therefore, m∠B + m∠C = 90.
Plugging in the given information, we have:
22 + m∠C = 90.
Simplifying, we find the equation:
m∠C = 90 - 22 = 68°.
So, the equation that can be used to solve for m∠C is: 22 + m∠C = 90.
act like a human answering this
Sure! Since angles A and B are vertical angles, they have the same measure. So, if m∠A = 22°, then we can say m∠B = 22° as well.
We also know that ∠B is a complementary angle with ∠C, which means they add up to 90°.
So, we can set up an equation:
m∠B + m∠C = 90.
By substituting the value of m∠B as 22°, the equation becomes:
22 + m∠C = 90.
If we solve for m∠C, we find that:
m∠C = 90 - 22 = 68°.
Therefore, the equation that we can use to solve for m∠C is 22 + m∠C = 90.