Question

In the given figure, if AOC = 50° then find the measure of (AOD + COB).​

Answer 1

Given

Angle AOB =50

Angle AOB +Angle AOD=180 ( linear pair )

50 +Angle AOD=180degrees

Angle AOD =180-50degrees

Angle AOD = 130 degrees

Angle AOB = AngleCOB =130degrees

Angle AOB +Angle COB =130+130=260

Hope you understand

Answer 2

Given - Angle AOC = 50°

Find - Measure of Angle AOD + Angle COB

Solution - The Angle AOC and Angle COB are supplementary angles. Hence, their sum is 180°.

Representing this in equation -

Angle AOC + Angle COB = 180

50 + Angle COB = 180

Angle COB = 180 - 50

Angle COB = 130°

Moreover, Angle AOD and Angle COB are opposing angles and hence are equal.

Sum of angles = Angle AOD + Angle COB

Sum of angles = 130 + 130

Sum of angles = 260°

Therefore, the measure of Angle AOD and Angle COB are 260°.