Question

Find the measure of each angle.
x - 7
X
x + 10

Answer 1

52°, 59°, and 69°

Explanation:

Each of these angles add up to make a straight line, or = 180°

(x - 7) + x + (x + 10) = 180

3x + 3 = 180

3x = 177

x = 59

Angle A = 52°

Angle B = 59°

Angle C = 69°

52 + 59 + 69 = 180!

Answer 2

x - 7: 52

x: 59

x + 10: 69

Explanation:

Since we have a straight line, we know that the angles must add up to 180. We can set up an equation to solve:

x - 7 + x + x + 10 = 180

Combine like terms:

3x + 3 = 180

Subtract 3 on both sides:

3x = 177

Divide by 3 on both sides:

x = 59

Now plug in 59 for each angle.

The "x - 7" angle should equal 52, the "x" angle should equal 59, and the "x + 10" angle should equal 69.