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Answered

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Study the diagram.
K
M
2x+17⁰
3x-4°
N
Part A. Based on the diagram, write an equation that could be used to solve for x.
Part B. Find LKN

Study The Diagram K M 2x17 3x4 N Part A Based On The Diagram Write An Equation That Could Be Used To Solve For X Part B Find LKN class=

Sagot :

sqdancefan

Answer:

  A.  2x +17° = 3x -4°

  B.  x = 21°; ∠LKN = 59°

Step-by-step explanation:

Given alternate interior angles of 2x +17° and 3x -4°, you want an equation for x, and the measure of these angles.

A. Equation

The marked angles are alternate interior angles at transversal KN with respect to parallel lines KL and MN. That means they are congruent. An equation showing they have the same measure can be used to solve for x.

  2x +17° = 3x -4°

B. Angle

Adding 4° -2x to both sides of the equation gives ...

  21° = x

Using this value in the expression for ∠LKN, we have ...

  ∠LKN = 2(21°) +17° = 42° +17°

  ∠LKN = 59°

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