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°
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
3 answers
like a 7th grader please
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.
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.