Question

Find the measure of each missing angle.​

Answer 1

9514 1404 393

Answer:

1. 35°
2. 145°
3. 55°
4. 125°
5. 55°

Explanation:

The right triangles are similar, so angle 1 is congruent to the given angle, and angles 3 and 5 are complements of that.

Angles 2 and 4 are the supplements of angles 1 and 5, respectively.

∠1 = 35°

∠2 = 180° -35° = 145°

∠3 = ∠5 = 90° -35° = 55°

∠4 = 180° -55° = 125°