Question

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

Answer 1

Step-by-step explanation:

AOC=(2x-10)

COB=(3x+20)

show that it is a linear pairs

so

AOC+COB=180°

(2x-10)+(3x+20)=180°

2x-10+3x-20=180°

2x+3x-10+20=180°

5x+10=180°

5x=180°-10

5x=170°

x=170°÷5

x=34°

so AOC=2x-10

=2×34-10

=68°-10

=58°

and BOC=3x+20

=3×34+20

=102°+20

=122°