Question

What are the measurements of the two angles in the figure below?

A. 80* and 100*

B. 85* and 95*

C. 75* and 105*

D. 72* and 108*

Answer 1

Both angles need to equal 180 degrees .

Add them together:

2x +10 + 3x-5 = 180

5X +5 = 180

Subtract 5 from each side:

5x = 175

Divide both sides by 5:

X = 175 / 5

X = 35

Now replace X with 35 in each equation:

2x +10 = 2(35) +10 = 70 +10 = 80

3x-5 = 3(35) - 5 = 105 -5 = 100

The answer is A. 80 and 100