Question

PLEASE HELP
m<6 = (2x-5)°
m<4 = (x+5)°

Answer 1

9514 1404 393

Answer:

∠3 = 115°

Explanation:

Angles 4 and 6 are "same-side interior angles", so are supplementary.

∠4 +∠6 = 180°

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

3x = 180

x = 60

The angles marked 3 and 6 are alternate interior angles, so are congruent. The measure of angle 3 is ...

∠3 = ∠6 = (2x -5)° = (2(60) -5)°

∠3 = 115°