Question

Question : In the given figure, angles AOB= 65 degree , angle BOC= 115 degree , angle COD= 100 degree. Calculate : (i)Angles AOD (ii) Is AOC a straight line , why ? (iii) Is BOD a straight line , why ? (iv) Are angle COD and angle DOA are supplementary ?

Answer 1

COD + AOD= 180 (LINEAR PAIR)

AOD=180 - COD

AOD=180-100

AOD=80 DEGREE

YES, AOC IS A STRAIGHT ANGLE BECAUSE AOB + COB= 180 DEGREE SO AN ANGLE WITH 180 DEGREE IS A STRAIGHT ANGLE

NO,BOD IS NOT A STRAIGHT ANGLE AS THE SUM OF ANGLE AOD AND AOB IS NOT EQUAL TO 180 DEGREE

BOTH COD AND DOA ARE SUPPLEMENTARY

Answer 2

Step-by-step explanation:

we know that,

angle AOB+ angle BOC + angle COD + angle AOD = 360°

SO, 65+115+100+ angle AOD =360°

280+ angle AOD= 360

Angle AOD =360°

1. Angle AOD =80°
2. yes, AOC is a straight line because

Angle AOD + Angle COD = 180° and also

it makes a linear pair.

3. No, BOD is not a straight line because

it makes a adjacent angle.

4. Yes, angle COD and angle DOA are

supplementary because they makes an

angle of 180°.