Question

Look at the figure below. Select TWO equations that represent angle relationships in the figure. A 7x−9=6x+14 B 7x−9=5x−10+33 C 6x+14=33+180−(7x−9) D 33+(5x−10)+(7x−9)=180

Answer 1

C and D both represent angle relationships in the figure.

C represents the relationship between the angles labeled x, y, and z. We know that the sum of the angles in a triangle is 180 degrees, so we can set 6x+14 (angle x), 33 (angle y), and 180-(7x-9) (angle z) equal to 180 and solve for x.

D represents the relationship between the angles labeled w, x, y, and z. We know that the sum of the angles in a quadrilateral is 360 degrees, so we can set 33+(5x-10)+(7x-9)+w equal to 360 and solve for x.