Question

OT bisects ∠DOG. Find the measure of ∠DOG if ∠DOT = 4x + 4 and ∠TOG = 5x – 3

Answer 1

64

Explanation:

OT bisects ∠DOG

⇒ ∠TOG = ∠DOT

5x - 3 = 4x + 4

Add 3 to both sides

5x = 4x + 4 + 3

5x = 4x + 7

Subtract 4x form both sides

5x - 4x = 7

x = 7

∠DOT = 4*7 + 4 = 28 + 4 = 32

∠DOG = 32 + 32 = 64