Respuesta :

calculista

Answer:

The measure of angle JKM is 108°

Step-by-step 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°

TaeKwonDoIsDead

Answer:

108

Step-by-step 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:

[tex]4x+5x+6x=180\\15x=180\\x=\frac{180}{15}=12[/tex]

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

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