Question

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

Answer 1

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