Question

In the triangle below, find the measurements of the unknown angles.

2a
75
O °
A. 75°, 1050
OB. 40°, 80°
Oc.
C. 50, 10°
OD. 25°, 50°
O E
E. 35º, 70°

Answer 1

E. 35°, 70°

Explanation:

Answer 2

E. 35°, 70°

Explanation:

Sum of angles add up to 180° in every triangle.

Step 1: Set up equation

a + 2a + 75 = 180

Step 2: Combine like terms

3a + 75 = 180

Step 3: Subtract 75 on both sides

3a = 105

Step 4: Divide both sides by 3

a = 35

So 1 angle is 35°

Step 5: Plug in a to find last angle

2(35) = 70°