angle 3 = 58°.
angle 7 and angle 5 are alternate interior angles, so they’re congruent. since 5 and 6 make up a complementary angle, they equal 90°. 90 — 32 = 58. angle 6 and angle 3 are vertical angles, so they’re congruent. If angle 6 equals 58, then so does angle 3.