Question

How do you solve for the congruent angle?

Answer 1

Explanation:

KLN=10(x)+19=64

x=4.5

Answer 2

Both angles are 64. See discussion below

Explanation:

Comment

You can only do this if you assume that LN cuts <KLM in half (ie it is a bisector).

Givens

<KLM = 128

<KLN = 10x + 19

Solution

If the assumption under the comment is correct, then the equation

2(10x + 19) = 128. Both equal angles add up to 128. Remove the brackets.

2*10x + 19*2 = 128 Combine

20x + 38 = 128 Subtract 38 from both sides

20x +38-38 = 128-38

20x = 90 Divide both sides by 20

20x/20=90/20

x = 4.5

Angles

<kLN = `10x + 19 = 10*4.5 + 19 = 45 + 19 = 64

<NLM = 64