Question

Please help!! Given that triangle ABC is congruent to triangle DEF, the measure of angle A = 70°, the measure of angle B = 60°, the measure of angle C = 50°, the measure of angle D = (3x + 10)°, the measure of angle E = (y/3 + 20)°, and the measure of angle F = (z^2 + 14)°, find the values of x, y, and z.

Answer 1

Ok so since the triangles are congruent, that means that the corresponding angles are congruent. This means angle A = angle D, angle B = angle E, and angle C = angle F.

So:

angle A = angle D

70 = 3x + 10

3x + 10 = 70

3x = 60

x = 20

angle B = angle E

60 = y/3 + 20

y/3 + 20 = 60

y/3 = 40

y = 120

angle C = angle F

50 = z^2 + 14

z^2 + 14 = 50

z^2 = 36

z = 6 (or -6)

Answer 2

Explanation: