You know the measure of the exterior angle which forms a linear pair with the vertex angle. Describe two ways you can find measures of the interior angles of the triangle.

Step-by-step explanation:

A linear pair are two given angles whose sum is equal to .

Let the exterior angle be represented by , and the three interior angles of the triangle be represented by , and .

Assume that the vertex angle is the linear pair to the exterior angle .

i.e             + =  (sum of angles on a straight line)

Thus,

i. +   =  (sum of two opposite interior angles is equal to an exterior angle)

⇒  = -

Also,

 = -

But,

+ + =   (sum of angles in a triangle)

⇒ = - ( +  )

and

+ = -

ii. + + =   (sum of angles in a triangle)

= - ( + )

Also,

+   =

⇒ = -

= -

tangent

step-by-step explanation: