Question

Please help

Find the value of x,
m∠5 = x-6, m∠4 = 2x+4, m∠2 = 2x-26

Answer 1

9514 1404 393

Answer:

x = 30 2/3

Explanation:

Angles 4 and 5 are complementary, so we have ...

m∠4 +m∠5 = 90°

(2x +4) +(x -6) = 90

3x -2 = 90 . . . . . . . . . collect terms

3x = 92 . . . . . . . . . . add 2; next, divide by 3

x = 92/3 = 30 2/3