Question

If OA OB OC and D are the rays such that angle AOB=angle COD=150°,angle BOC=30° and angle AOD=30°.Is it true that AOC and BOD are straight lines?justify your answer

Answer 1

Given:  OA, OB, OC and OD are the rays such that angle AOB = angle COD = 150°, angle BOC = 30° and angle AOD = 30°.

To find: Justify that AOC and BOD are straight lines?

Solution:

• Now we have given:  angle AOB = 150° and angle BOC = 30°.

• So this means angle AOC = 150 + 30 = 180°

• This shows that AOC is a straight line.

• Similarly:

• angle AOB = 150° and angle AOD = 30°.

• So this means angle DOB = 150 + 30 = 180

• This shows that DOB is a straight line.

Answer 2

${\sf{\underline{\underline{\pink{Solution}}}}}$

$\sf\pink{x+100+56+74 = 360}$$\sf\blue{(By ASPT)}$

$\sf\green{x+220=360}$

$\sf\orange{x=360-220}$

$\sf\red{x=140}$

$\sf\purple{Hence \ proved}$

$\sf\red{Angle COD = 140}$