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Solving for Angle Measures
What is the value of k?

Solving for Angle Measures What is the value of k?-example-1
User Gauti
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2 Answers

1 vote
k = 10 degrees

hope this helps!
User Michael McLoughlin
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6 votes

Answer:

Value of k = 10

Explanation:

Exterior angle property states that the exterior angle is equal to the sum of the opposite sides of an interior angle.

As per the diagram:

In triangle XZY:


\angle XZY = (4k+5)^(\circ),
\angle ZXY = (6k+10)^(\circ) and
\angle ZYM = 115^(\circ)

By definition of exterior angle property we have;


\angle XZY+\angle ZXY = \angle ZYM

Substitute the values and solve for k.


4k+5+6k+10 = 115

Combine like terms;


10k+15 = 115

Subtract 15 from both sides we have;


10k = 100

Divide both sides by 10 we have;

k = 10

Therefore, the value of k is, 10

User Jski
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