The deck that kenneth is building is the shape of a parallelogram, abcd. the measure of angle c is one-third the measure of angle b. find the measure of each angle of the deck.

The angles of the deck are 45°, 135°, 45° and 135°.

Step-by-step explanation:

It is given that C is one third of measure of angle B.

But, in a parallelogram, adjacent angles are supplementary.

Therefore, B + C = 180

B = 135

and

C = 45

Since, opposite angles are equal in a parallelogram,

A = C = 45 and

D = B = 135

Hence, the angles of the deck are 45°, 135°, 45° and 135°.

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

i dont know

step-by-step explanation: