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"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.


Am= 30°; m= 55°
Bm= 40°; m= 45°
Cm= 45°; m= 40°
Dm= 55°; m= 30°"

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 ; class=

Verified Answer :

taskmasters

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°

ydhillon

Answer:

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:

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