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m∠A = 100 + 5x
m∠B = 77 − 4x
m∠C = 106 + 3x
m∠D = 47 + 6x

Quadrilateral ABCD is a parallelogram if both pairs of opposite angles are congruent. Prove that quadrilateral ABCD is a parallelogram by finding the measures of the opposite angle pairs?
A) 95°, 85°
B) 105°, 75°
C) 115°, 65°
D) 125°, 55°

Respuesta :

wegnerkolmp2741o

Answer:

C) 115°, 65°

Step-by-step explanation:

A and C are opposite angles

A = C

100 + 5x = 106 + 3x

Subtract 3x from each side

100 + 5x-3x = 106 +3x-3x

100 + 2x = 106

Subtract 100 from each side

100-100 + 2x = 106-100

2x = 6

Divide by 2

2x/2 =6/2

x=3

Angle A = 100+ 5x

               =100 + 5(3)

               = 100+15

               = 115

Angle C = 115

Angle B = 77 - 4x

              = 77 -4(3)

              = 77-12

              = 65

Answer:

B) 105, 75

Step-by-step explanation:

I just did the test on usatestprep

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