"if m= angle aoc=85°, m=angle boc = 2x + 10, and m angle aob = 4x – 15, find the degree measure of angle bocand angle aob. the diagram is not to scale.

a. m= 30°; m= 55°
b. m= 40°; m= 45°
c. m= 45°; m= 40°
d. m= 55°; m= 30°"

Given:

Angle AOC =  85°

Angle BOC = 2x + 10

Angle AOB = 4x - 15

Angle AOB + Angle BOC = Angle AOC

2x + 10 + 4x - 15 = 85

6x - 5 = 85

6x = 85 + 5

6x = 90

6x/6 = 90/6

x = 15

Angle AOB = 2x + 10 = 2(15) + 10 = 30 + 10 = 40

Angle BOC = 4x - 15 = 4(15) - 15 = 60 - 15 = 45

Find the degree measure of Angle BOC and Angle AOB

Answer is: C. m= 45°; m= 40°

Step-by-step explanation:

b is 38 degrees.

a is 52 degrees.

this is because if b is 38 and a is 14 degrees more than b than 38+14=52 and 52+38=90 degrees. hope this .