∠MAT and ∠TAH are supplementary angles. The angles have the following measures:

Question

∡MAT = (3x + 1)° and ∡TAH=63° . Which equation would you use to solve for x ?(1 point)
Responses

3x−62=1803 x minus 62 is equal to 180

3x+64=1803 x plus 64 is equal to 180

x+60=180x plus 60 is equal to 180

x+74=180x plus 74 is equal to 180

Answer 1

To find the equation that represents the relationship between the supplementary angles ∠MAT and ∠TAH, we use the fact that supplementary angles add up to 180 degrees.

Given:

• ∠MAT = (3x + 1)°
• ∠TAH = 63°

The equation based on their measures would be:

(3x + 1) + 63 = 180

Now we simplify this:

3x + 1 + 63 = 180 3x + 64 = 180

Therefore, the correct equation to solve for x is:

3x + 64 = 180