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

Question

Mathematics

Korbin Dawson

20 August, 16:37

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

+5

Answers (1)

Know the Answer?

Lance Delgado · 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

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 = 125B. x = 110, y = 70C. x = 110, y = 35D. x = 55, y = 62.5

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