Question

The measure of angle Jkl can be represented using the expression 3x+5

What is the Degree of JKL

Answer 1

`65^\circ`

Explanation:

It is given that the measure of angle JKL can be represented by
`(3x+5)`.

And from the figure we can see that the measure of angle JKL is,

`(45^\circ+x^\circ)`

Both the measures must be equal, hence equating both the angles we get,

`(3x+5)=45+x`

Solving for 'x' we get,

`3x+5=45+x`

`3x-x=45-5`

`2x=40`

`x=(40)/(2)`

`x=20`

Putting the value of 'x' we can calculate the measure of angle JKL,

`45^\circ+x^\circ=45^\circ+20^\circ=65^\circ`

Therefore, the measure of angle JKL is,
`65^\circ`.