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 [tex]\angle JKL[/tex] .
In [tex](\triangle\ JKL)[/tex] we see that the exterior angle is in linear pair with [tex]\angle JKL[/tex] .
Note:
Linear pair angles sum is 180 degree.
Let [tex]\angle JKL[/tex] be 'x' degrees .
So,
⇒ [tex]x+83=180[/tex]
⇒ Subtracting 83 from both sides.
⇒ [tex]x+83-83=180-83[/tex]
⇒ [tex]x=180-83[/tex]
⇒ [tex]x=97[/tex] degrees
The measure of angle JKL in the triangle is of 97 degrees.
