Question

Need help with this math problem

Answer 1

x = 17

m∠JKL = 87°

m∠KJL = 58°

m∠KLJ = 35°

m∠KLM = 145°

Step-by-step explanation:

The exterior angle theorem says that the sum of two interior angles is equal to the exterior angle

In the given triangle, the interior angles are:

m∠K = (7x-32)°

m∠J = (5x-27)°

The interior angle is:

m∠L = (9x-8)°

So writing mathematically

m∠J+m∠K = m∠L

$7x-32+5x-27 = 9x-8\\12x -59 = 9x - 8\\12x-9x = 59-8\\3x = 51$

Dividing both sides by 3

$\frac{3x}{3} =\frac{51}{3}\\x = 17$

Now m∠JKL

= $7x-32\\=7(17) - 32\\=119-32\\=87$

m∠KJL

$= 5x-27\\=5(17)-27\\=85-27\\=58$

m∠KLJ

$=188-9x\\=188-153\\=35$

m∠KLM

$=9x-8\\=9(17) -8\\=153-8\\=145$

Hence,

x = 17

m∠JKL = 87°

m∠KJL = 58°

m∠KLJ = 35°

m∠KLM = 145°

Keywords: Angles, Triangle

Learn more about angles at:

• brainly.com/question/10772249
• brainly.com/question/10781917

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