Question

The angles in triangle are in the ratio of 2:2:4. Find the exterior angle adjacent to the largest angle.

Answer 1

Answer:

ratio=2:2:4

let the angles be 2x , 2x , 4x

the using angle sum property

2x+2x+4x=180

8x=180

x=180/8

x=22.5

therefore the angles are

2x=2*22.5=45

2x=45

4x=4*22.5=90

90 is the largest angle

Now according to the question the exterior angle adjacent of 90 is 90.

(180-90=90 )