Question

find the missing angle:

1. y = 103
2. x = 15
3. angle hfg
4. x = 28
5. x =
6. x =
7. list all the angles that were:

a) complementary:
b) supplementary:

Explanation:

Step1: Recall angle - addition properties

Complementary angles add up to 90°. Supplementary angles add up to 180°.

Step2: Solve for Angle HFG

Since ∠EFH = 66° and ∠EFG = 90° (right - angle), then ∠HFG=90° - 66°.
∠HFG = 24°

Answer:

1. Angle HFG = 24°
2. x = 120° (assuming the straight - line is 180° and one part is 60°, so x = 180 - 60)
3. x = 48° (assuming the straight - line is 180° and the other part is given, and we find x by subtraction from 180°)
4. a) Complementary angles: 2 (75° and 15°), 4 (66° and 24°), 5 (62° and 28°)

b) Supplementary angles: 1 (y and the adjacent angle on the straight - line), 7 (x and 60°), 8 (x and the other angle on the straight - line)