Question

hi I need help on questions 10-17 on this paper. if you are a expert (know what to do) of vertical angles and angle relationships in a triangle then please help me.

Answer 1

10) 73

11) 107

12) 107

13) x = 23

14) 135

15) 45

16) 123, 28 29

17) 180 - 72 - 28 = 80

Angle K is 80

Explanation:

10:

Vertical angels are congruent. The same measurement.

11:

Supplements angles add to 180

180 - 73 = 107

12:

Same as 11

13:

135

Vertical angles are congruent

5x + 20 = 3x + 66 Subtract 3x from both sides

2x + 20 = 66 Subtract 20 from both sides

2x = 46 Divide both sides by 2

x = 23

14:

5x + 20 Substitute 23 for x

5(23) + 20

115 + 20

135

15:

This angle is supplemental to ABC

180 - 135 = 45

16:

The sum of the interior angles of a triangle is 180

123 + x-2 + x -3 = 180 Combine like terms

118 +2x = 180 Subtract 118 from both sides

2x = 62 Divide both sides by 2

x = 31

x- 2

31 - 2 = 29

x - 3

31 - 3 = 28

Three angles 123, 29, 28

17:

The sum of the interior angles is 180

180 - 72 - 28 = 80

Helping in the name of Jesus.