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) make it sound like a 7th grader
So, we have a diagram with angles A, B, and C. First, let's remember that vertical angles are angles that are across from each other when two lines intersect. That means ∠A and ∠B are vertical angles.
Next, we know that ∠B is a complementary angle with ∠C. Complementary angles are two angles that add up to 90 degrees. That means ∠B + ∠C = 90°.
Now, they tell us that the measure of ∠A is 22 degrees. So we can write an equation to solve for ∠C using what we know:
∠B + ∠C = 90° , and we also know ∠B = ∠A (since ∠A and ∠B are vertical angles)
Substituting ∠A for ∠B in the equation, we get:
∠A + ∠C = 90°
Since ∠A is given as 22 degrees, we can substitute that value into the equation:
22° + ∠C = 90°
And that's the equation we can use to solve for the measure of ∠C. We just need to solve for ∠C by subtracting 22 from both sides of the equation. So the final equation is:
∠C = 90° - 22° or ∠C = 68°