Question

2X plus 3X −6 right in equalizer. For these 2 supplementary angles, explain how to solve for the value of X. Find a measurement of each angle make sure to list both

Answer 1

To solve for the value of X, we can combine the like terms in the expression 2X + 3X - 6:

2X + 3X - 6 = (2 + 3)X - 6 = 5X - 6

Since the two angles are supplementary, their measures add up to 180 degrees. Thus, we have the equation:

5X - 6 + X = 180

Combining like terms again:

6X - 6 = 180

Adding 6 to both sides:

6X - 6 + 6 = 180 + 6

Simplifying:

6X = 186

To solve for X, we divide both sides by 6:

6X/6 = 186/6

X = 31

Therefore, X equals 31.

To find the measurement of each angle, we substitute X back into the expression for each angle:

First angle: 2X + 3X - 6

2(31) + 3(31) - 6 = 62 + 93 - 6 = 149 degrees

Second angle: 180 - 149 = 31 degrees

So, the measurement of the first angle is 149 degrees, and the measurement of the second angle is 31 degrees.