Find the values of x and y. A. x = 42, y = 26.3
B. x = 47, y = 30
C. x = 42, y = 30
D. x = 47, y = 26.3

C

Step-by-step explanation:

2x + 1 = 85 (Alternate Interior Angles Theorem)

2x = 84

x = 42

(3y + 5) + (2x + 1) = 180 (Linear Pair Theorem)

3y + 5 + (85) = 180

3y + 5 = 95

3y = 90

y = 30

x = 42, y = 30

Step-by-step explanation:

Alternate angles are equal so

85 = 2x + 1

2x = 84

x = 42°

Linear pair

(3y + 5) + (2x + 1) = 180

3y + 5 + 85 = 180

3y = 90

y = 30°

So I think the answer is x = 42° and y = 30°.

Hope it helps.

9.55 degrees.

step-by-step explanation:

the given angle is

1 cycle is equal to 2π radians. so 4π will be equal to two cycles.

5.166667π-4π = 1.166667π

hence, this angle goes a little more than negative x axis.

1.166667π-π= 0.166667π

hence, the reference angle is 0.166667π radians.

1 radian = 57.2958 degrees

now, in degrees, this should be equals to 9.55 degrees.