Question

What is the measure of angle 1?

Answer 1

140.25°

Explanation:

Angle 1 and Angle (3x+12) share the exact same angle since they are congruent. Knowing this, you can replace angle 1 with (3x+12). Math tells you that supplementary angles are two angles that add up to 180 degrees.

(x-3) and (3x+12) are supplementary. Since they are supplementary and math tells me that two angles add up to 180. I can add (x-3) and (3x+12). But to finish the equation, both of these angles must equal 180.

Your equation should look something like this (it should look like this):

`(x-3)+(3x+12)=180`

From there you can simplify and isolate the x value to solve for x. Your x value is 42.75. But, we are not done here.

Now that we know x, which is just a placeholder, we must replace the placeholder with its actual numerical value (42.75).

3(42.75) + 12 = 140.25.

To make sure both angles equal up to 180.

Replace all x's with 42.75 and you will see that they equal 180.

`(3(42.75)+12)+(42.75 - 3) = 180`

`180=180`✅

Answer 2

C. 126

Explanation:

I just did this quick check and this was the correct answer. Glad to help.

(The answer placement may be different depending on the test but the answer is still 126)