Question

The three interior angles of a triangle measure x°, (x-4)°, and (x+16)°. Which is the measure of one of the three angles?

OA) 48°
O B) 52°
O C) 60°
OD) 70°

Answer 1

Answer: Choice B) 52 degrees

=======================================================

Step-by-step explanation:

Every triangle has the rule where the inside angles add to 180.

(angle1)+(angle2)+(angle3) = 180

x + (x-4) + (x+16) = 180

3x+12 = 180

3x = 180-12

3x = 168

x = 168/3

x = 56

Then we can determine each angle.

• angle1 = x = 56 degrees
• angle2 = x-4 = 56-4 = 52 degrees (choice B)
• angle3 = x+16 = 56+16 = 72 degrees

As a check:

angle1+angle2+angle3 = 56+52+72 = 180

This confirms the answer is correct.