Question

K. The sum of the measuresof the three angles of atriangle is 180°. Find themeasure of the anglelabeled x.

Answer 1

Given that the sum of the measures of the three angles of a triangle is 180°, then

x + (2x - 1) + (x + 5) = 180

(x + 2x + x) + (-1 + 5) = 180

4x + 4 = 180

4x = 180 - 4

4x = 176

x = 176/4

x = 44°