Answered

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.

Ax = 55, y = 125
Bx = 110, y = 70
Cx = 110, y = 35
Dx = 55, y = 62.5

Verified Answer :

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

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