Question

Please help meeeee. What is the value of k?

Answer 1

• k = 10

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Exterior angle of a triangle is equal to the sum of remote interior angles.

In the given picture, the exterior angle is 115°, and remote interior angles are (4k + 5)° and (6k + 10)°.

Set up equation and solve for k:

• 4k + 5 + 6k + 10 = 115
• 10k + 15 = 115
• 10k = 100
• k = 10

Therefore the value of k is 10.

Answer 2

k = 10

Explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ MYZ is an exterior angle of the triangle , then

4k + 5 + 6k + 10 = 115

10k + 15 = 115 ( subtract 15 from both sides )

10k = 100 ( divide both sides by 10 )

k = 10