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) WRITE IT IN 2 SENTENCES AND IN ONE PARAGPH AND IN KIDS'S WORDS PLZZZ

5 answers

In this diagram, we have two angles called ∠A and ∠B that are opposite each other and are therefore called vertical angles. Additionally, ∠B is also a complementary angle with ∠C. If we know that ∠A measures 22 degrees, we can write an equation to find the measure of ∠C by using the fact that the sum of complementary angles is 90 degrees. So, the equation will be m∠A + m∠C = 90°. By substituting the given value of m∠A as 22°, we can solve for m∠C.
IN KID'S WORDS I SAIDD
In this picture, we have two angles, ∠A and ∠B, that are across from each other and are called vertical angles. ∠B is also a special angle because it adds up to 90 degrees with ∠C. We are told that ∠A is 22 degrees, so we can use a rule that says when two angles add up to 90 degrees, we can write an equation: ∠A + ∠C = 90°. We can substitute in the value of ∠A (which is 22°) and then solve for ∠C.
so solve for C then?
To solve for ∠C, we can use the equation ∠A + ∠C = 90° and substitute the value of ∠A as 22°.

∠A + ∠C = 90°
22° + ∠C = 90°

To isolate ∠C, we can subtract 22° from both sides of the equation:

∠C = 90° - 22°

Simplifying, we find:

∠C = 68°

Therefore, ∠C measures 68 degrees.