Question

What is m∠KNL? Enter your answer in the box.

Answer 1

Answers to full test 2019: (3.03: Vertical Angle Relationships)

Question 1) 20

Question 2) 14

Question 3) 5

Question 4) 19

Question 5) 102

Answer 2

Angle KLN is congruent to angle JNM because they are vertical angles and vertical angles are congruent.
Set up am equation to make them equal to each other.
5x+2 = 3(x+14)
Distribute 3 to the values in the parentheses
5x+2 = 3x+42
Subtract 3x from both sides
2x +2 = 42
Subtract 2 from both sides
2x = 40
Divide both sides by 2
X=20

Substitute 20 for x in the angle KLN
3(20+14)
Simplify parenthesis
3(34)
Multiply
KLN =102 degrees