Question

What is the measure of Angle J K L? Triangle J K L . The exterior angle to angle K has a measure of 83 degrees. 83 degrees 97 degrees 107 degrees 137 degrees

Answer 1

97

Explanation:

Answer 2

The measure of angle JKL is 97 degrees.

Explanation:

Given:

A triangle JKL .

Measure of exterior angle K = 83 degrees

We have to find the measure of
`\angle JKL` .

In
`(\triangle\ JKL)` we see that the exterior angle is in linear pair with
`\angle JKL` .

Note:

Linear pair angles sum is 180 degree.

Let
`\angle JKL` be 'x' degrees .

So,

⇒
`x+83=180`

⇒ Subtracting 83 from both sides.

⇒
`x+83-83=180-83`

⇒
`x=180-83`

⇒
`x=97` degrees

The measure of angle JKL in the triangle is of 97 degrees.