Question

What will be the measure of the exterior angle, if the measure of its adjacent interior angle is 67.5 degrees?​

Answer 1

Step-by-step explanation:

The sum of exterior angle and its adjacent interior is 1800, that is,

e+i=1800

 

Since each exterior angle is equal to twice its adjacent interior angle, therefore, substitute 2i=e or i=2e.

e+2e=1800⇒22e+e=1800⇒23e=1800⇒3e=1800×2⇒3e=3600⇒e=33600=1200

We know that the measure of exterior angle is e=(n360)0 where n is the number of sides.

Here, it is given that the exterior angle is e=1200, therefore, 

n=e360=120360=3

Hence, the number of sides is 3.

Answer 2

Answer:

the exterior angle measures the same as sum of opposite interior angles.. so ans is 67.5°