Question

100 POINTS PLEASE HELP ME 100 POINTS (make fullscreen)

Answer 1

identicalAnswer:

1) 64, 2) 6, 3) 26, 4) 33

Explanation:

#1

Sum of interior angles is 180

70 + 46 + x = 180

116 + x = 180

x = 64

#2

Sum of interior angles is 180

84 + 7x + 1 + 9x - 1 = 84

16x + 84 = 180

16x = 96

x = 6

#3

Vertical angles are identical, the sum of remaining angles is the same for both triangles:

35 + 25 = 34 + x

60 = 34 + x

x = 60 - 34

x = 26

#4

The exterior angle is the same as the sum of non-adjacent interior angles:

5x - 7 + 6x + 3 = 84

11x - 4 = 84

11x = 88

x = 8

m∠G = 5x - 7 = 5*8 - 7 = 40 - 7 = 33

Answer 2

• 1) 64, 2) 6, 3) 26, 4) 33

Explanation:

#1

Sum of interior angles is 180

• 70 + 46 + x = 180
• 116 + x = 180
• x = 64

#2

Sum of interior angles is 180

• 84 + 7x + 1 + 9x - 1 = 84
• 16x + 84 = 180
• 16x = 96
• x = 6

#3

Vertical angles are same, the sum of remaining angles is same for both triangles:

• 35 + 25 = 34 + x
• 60 = 34 + x
• x = 60 - 34
• x = 26

#4

Exterior angle is same as the sum of non-adjacent interior angles:

• 5x - 7 + 6x + 3 = 84
• 11x - 4 = 84
• 11x = 88
• x = 8

• m∠G = 5x - 7 = 5*8 - 7 = 40 - 7 = 33