Question

Look at the figure and answer:

If Angle 1 = 30°, Angle 3 = 30°, Angle 2 = 45°, find the measure of:
AOC = ________
BOD = ________
AOD = ________
​

Answer 1

sorry for my handwriting

Answer 2

Answer:

Angle AOC = AOB + BOC

.'. AOC = 30 + 45

.'. AOC = 75

Angle BOD = BOC + COD

.'. BOD = 45 + 30

.'. BOD = 75

Angle AOD = AOB + BOC + COD

.'. AOD = 30 + 45 + 30

.'. AOD = 105