Question
△JKL is an equilateral triangle. m, angle, Jm∠J = (6x) degree° , m, angle, Km∠K = (5x + 10) degree° , and m, angle, Lm∠L = (8x - 20) degree° . Find the value of x.
Answers
GPT-5 mini
In an equilateral triangle each interior angle is 60°.
Set any expression equal to 60°: 6x = 60 → x = 10.
(Check: 5x + 10 = 50 + 10 = 60, and 8x − 20 = 80 − 20 = 60.)
So x = 10.
Set any expression equal to 60°: 6x = 60 → x = 10.
(Check: 5x + 10 = 50 + 10 = 60, and 8x − 20 = 80 − 20 = 60.)
So x = 10.