Question

In the given figure AOB is a straight line if angle AOC = (3x+10) degree angle and angle BOC = (4x-26) degree angle find the value of angle BOC

Answer 1

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Answer 2

Given:

AOB is a straight line. Angle AOC = (3x+10) degree and Angle BOC = (4x-26) degree

To Find:

The value of angle BOC

Solution:

• AOB is a straight line so the sum of angles between AOC and BOC must be 180 degrees.

• Here we will add the angles and compare them with 180.

According to the question

Angle AOC + Angle BOC = 180°

(3x+10) + (4x-26) = 180

3x+4x + 10-26 = 180

7x-16 = 180

7x = 180+16

7x = 196

x = 196/7

x = 28

So,

The angle BOC

= 4x-26            (when x = 28)

= 4×(28) - 26

= 112 - 26

= 86

So, the angle AOC

=180 - 86

= 94°

Hence, the value of angle BOC is 86°