Question

Triangle ABC is congruent to triangle XYZ. Angle A measures 50 degrees, angle B measure 2x+40 degrees, and angle Z measures 4x+8 degrees. Find the value of x.

20.5

13.67

16

10.5

Answer 1

angle Z is congruent to angle C, so angle C measures 4x+8
the sum of the three angles of a triangle is 180, so
50+2x+40+4x+8=180
6x++98=180
6x=82
x≈13.67