Question

7. In the given figure, AOB is a straight line and the ray OC stands on
it.
If AOC = (2x - 10) and BOC = (3x +20)°, find the value of x.
Also, find AOC and BOC.
​

Answer 1

Answer:

x=34

AOC=58

BOC=122

Because its linear pair of angle

Answer 2

Answer:

x=34 degree

AOC= 58 degree

BOC=122 DEGREE

Step-by-step explanation:

we can say that angle AOC +angle BOC =180 degree( straight angle )

so in the question, we can now form an euation.

(2x-10)+(3x+20)=180 degree

2x-10+3x+20=180 degree

5x+10=180 degree

5x=180-10

5x=170

x=170/5

x=34.

So , the first part of the question has its result, i.e. x=34 degree.

now to find AOC and BOC, we'll substitute values for x and simplify.

AOC= 2x- 10

so, 2x-10=2*34-10

2*34-10=68-10

58 degree= AOC

BOC=3x+20

so, 3x+20=3*34+20

102+20=122degree

122 degree=BOC