Question

Find the measure of the exterior angle.
(t + 10)
(t + 20°
What is the measure of the exterior angle?

Answer 1

Answer:

110

Step-by-step explanation:

Sum of all angles = 180

t + t + 10 + t +20 = 180

3t + 30 = 180

Subtract 30 from both sides

3t = 180 - 30

3t = 150

Divide both sides by 3

t = 150/3

t = 50

Exterior angles equals sum of opposite interior angles.

Exterior angle = t + t +10

                        = 50 + 50 + 10

                        = 110

Answer 2

Answer:

110 degrees.

Step-by-step explanation:

t + t + 10 + t + 20 = 180   ( angles in a triangle sum to 180)

3t + 30 = 180

3t = 150

t = 50

So the exterior angle = t + t + 10     (exterior angle theorem).

= 50 + 50 + 10

= 110 degrees.