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°

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

fa tha first one you gonna add y to both sides

it look like this

x-y+y=6+y

x=y+6

therefore your answer is

x =y+6

fa tha second one

you gonna flip tha equation

it gonna look like x-4y=y

then add 4 to both sides

it gonna look like tha

x-4 +4 =y +4

so therefore tha answer is x=y+4

step-by-step explanation:

explanation:

step-by-step explanation: