Question

Find the missing angle.

Answer 1

The triangle to the top right is missing one angle. We know the sum of all angles in a triangle add up to 180 degrees. We already have 35 + 90 = 125 degrees, so the last angle must be 55 degrees. That angle is verticle to another angle, which you should be able to notice (also 55 degrees because vertical angles are congruent). Now, we have 67 + 55 = 122 degrees in that triangle. It must add up to 180, so the unknown angle is 58 degrees.