Question

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)

i dont want this to look suspicious

Answer 1

like a 7th grader please

Answer 2

Based on the given information, we can form the equation:

m∠A + m∠B = 180° (linear pair property)

Since ∠A and ∠B are vertical angles, they are congruent. Thus, we can substitute m∠A with 22°:

22° + m∠B = 180°

Furthermore, ∠B is a complementary angle with ∠C, implying that their sum is 90°. So, we can write:

m∠B + m∠C = 90°

Therefore, substituting m∠B in the equation with the first equation we formed, we have:

180° - 22° + m∠C = 90°

Simplifying the equation further:

158° + m∠C = 90°

In conclusion, the equation that can be used to solve for m∠C is:

158° + m∠C = 90°

Answer 3

Sure! Let's break it down step by step.

First, we know that angle A and angle B are vertical angles, which means they are congruent. So if angle A measures 22 degrees, angle B also measures 22 degrees.

Next, we know that angle B is a complementary angle with angle C. This means that when you add the measures of angle B and angle C together, you get 90 degrees.

Now we can write an equation to solve for the measure of angle C. We'll use the information we have. Angle B is 22 degrees, and angle C is what we want to find.

So the equation would be: 22 degrees + angle C = 90 degrees.

That's it! Now you can solve this equation to find the measure of angle C.