Question

Please help me with this geometry problem, I'd really appreciate it :)

Answer 1

Hello from MrBillDoesMath!

Answer:

x = 31

Discussion:

angle A + angle C + angle B = 180              (180 degrees in a triangle)

angle A + 57           +  61        = 180 =>         (substitution)

angle A + 118 = 180 =>

angle A = 180 -118 = 62

By the congruence statement, angle A = angle D = 2x so

62 = 2x =>

x = 31

Thank you,

MrB