Question

In Figure 2, anglecAOC and angle BOC form a linear pair. Determine the measures of angoe AOC and angle BOC.​

Answer 1

Answer:

Angle AOC = 108 degree

Angle BOC = 72 degree

Step-by-step explanation:

Given, Angle AOC = 6x

and Angle BOC = 4x

Since these two angles are drawn on a straight line, so their sum will be = 180

This property is called Linear Pair.

When two angles are drawn on a straight line then their sum is 180

So angle AOC + angle BOC = 180

6x + 4x = 180

10x = 180

x = 18

Here you have got the value of x.

Now Angle AOC = 6*18 = 108

Angle BOC = 4*18 = 72

Answer 2

Step-by-step explanation:

6x+4x=180

=)10x=180

=)x=180/10

=)x=18

6x=6×18

=108

AOC=108⁰

4x=4×18

=72

BOC=72⁰

Hope it helps