Answer:
The measure of angle JKL is 97 degrees.
Step-by-step explanation:
Given:
A triangle JKL .
Measure of exterior angle K = 83 degrees
We have to find the measure of
.
In
we see that the exterior angle is in linear pair with
.
Note:
Linear pair angles sum is 180 degree.
Let
be 'x' degrees .
So,
⇒ ![x+83=180](https://tex.z-dn.net/?f=x%2B83%3D180)
⇒ <em>Subtracting 83 from both sides.</em>
⇒ ![x+83-83=180-83](https://tex.z-dn.net/?f=x%2B83-83%3D180-83)
⇒ ![x=180-83](https://tex.z-dn.net/?f=x%3D180-83)
⇒
degrees
The measure of angle JKL in the triangle is of 97 degrees.