What are the values of x and y in the figure shown below?

triangle abc with angles 30 degrees, y degrees, and 80 plus y degrees. triangle bcd lies inside triangle abc with angles x degrees, y degrees, and y degrees.
a. x = 55, y = 125
b. x = 110, y = 70
c. x = 110, y = 35
d. x = 55, y = 62.5

First let's find y. We know the sum of angles equals 180, so if we add the angles of ABC, we'd get 180.
30+y+80+y=180
110+2y=180
2y=70
y=35

You could solve x ,but the only response with y=35 is c. But to solve for x, you'd ad 35 35 and xwhich would equal 180.
35+35+x=180
70+x=180
x=110

Answer

x is the smallest angle so 12 is the answer.

Step-by-step explanation:

x + 2x + 4x + 6x + 7x + 10x = 360 degree (sum of exterior angles of a hexagon)

30x = 360

x = 360/30

x = 12

the smallest exterior angle of hexagon is 12 degree.