Question

how much does angle KLM measure? ​

Answer 1

Answer:

50

Step-by-step explanation:

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Answer 2

Answer:

The measure of  ∠KLM  =  65°

Step-by-step explanation:

Given,

∠KML = 50°

∠KLM = x°

∠LKJ = (2x - 15)°

To find

The measure of ∠KLM

Recall the property

Exterior angle property:

The measure of an exterior angle of a triangle is equal to the sum of its interior opposite angles.

Solution:

∠LKJ is an exterior angle of the ΔKLM and the corresponding interior angles are ∠KML, ∠KLM

Then by the exterior angle property,

∠LKJ = ∠KML + ∠KLM

2x-15 = x+50

2x-x = 50+15

x = 65°

∴ The measure of  ∠KLM  =  65°

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