Question

What is the measure of angle 2 if angle 1 is (5x - 2) and angle 2 is (2x)?

Answer 1

52

Explanation:

Angle 1 and angle 2 are on a straight line so their measure add up to 180 and they are supplementary

m<1 + m<2 = 180

5x - 2 + 2x = 180 add like terms

7x - 2 = 180 add 2 to both sides

7x = 182 divide both sides by 7

x = 26

To find the measure of angle 2 replace x with the value we found

m<2 = 2x

2*26 = 52

Answer 2

52 degrees

Explanation:

We're given:

• Angle 1 = 5x-2
• Angle 2 = 2x

The sum of the two angles is 180 degrees, because they construct a straight edge together. A straight line has an angle measure of 180 degrees.

Knowing this, we can form the following equation and solve for x:

`5x-2+2x=180\\7x-2=180\\7x=182\\x=26`

Therefore, x is 26. Find 2x to find the measure of Angle 2:

`2*26=52`

Therefore, Angle 2 has a measure of 52 degrees.