Question

If m<M=4x, m<L=5x, and m<MKL=6x. find m<JKM.

((72
((132
((108
((120
Thank you so much!!​

Answer 1

108

Explanation:

We know sum of all the 3 angles in a triangle is equal to 180. We can set up an equation for the triangle KML using the information given:

`4x+5x+6x=180\\15x=180\\x=(180)/(15)=12`

So measure of Angle MKL is 6x, or 6(12) = 72

Now, we know Angle JKM + Angle MKL = 180 (straight line). Thus,

Angle JKM + 72 = 180

Angle JKM = 180 - 72 = 108

Answer 2

The measure of angle JKM is 108°

Explanation:

step 1

Find the value of x

we know that

The sum of the interior angles of a triangle must be equal to 180 degrees

so

∠M+∠L+∠MKL=180°

substitute the given values

4x+5x+6x=180°

15x=180°

x=12°

step 2

Find the measure of angle JKM

we know that

Angles MKL and JKM are supplementary angles

so

∠MKL+∠JKM=180°

6x+∠JKM=180°

substitute the value of x

6(12)+∠JKM=180°

∠JKM=180°-72°=108°