Question

If KL bisects JLM, find

the values of x and y below,
570
(8y)"
370
(7x + 1)º

Answer 1

y = 10 degrees

x = 6 degrees

Explanation:

The question here is to know the degrees of x and y

From the triangle JLM, we already knew the angles of ∠LJM = 57 and ∠JML = 37, so we need to find out the angle of ∠JLM.

Use the properties of a triangle that the sum of the 3 angles are 180 degrees.

So we have:

• ∠JLM = 180 - ∠LJM - ∠JML

<=> ∠JLM = 180 - 57 - 37 = 86 degrees

However, ∠JLM = 2 ∠KLM because KL bisects JLM

<=> 86 = 2 (7x+1)

<=> x = 6 degrees

<=> ∠KLM = 43 degrees

<=> ∠KLJ = 43 degrees

From the triangle JKL, we already knew the angles of ∠KLJ = 43 and ∠LJM = 57. So once again, we use the properties of a triangle that the sum of the 3 angles are 180 degrees.

<=> ∠LKM = 180 - ∠KLJ - ∠LJM

<=> ∠LKM = 180 - 43 - 57 = 80

<=> 8y = 80

<=> y = 10 degrees