Question

Two Supplementary angles are in the ratio 5 : 7, then the measure of two angles are *

1 point
75°, 105°
72°, 108°
60°, 120°
40°, 140° Two Supplementary angles are in the ratio 5 : 7, then the measure of two angles are *
1 point
75°, 105°
72°, 108°
60°, 120°
40°, 140°

Answer 1

75°, 105°

Explanation:

Supplementary angles sum to 180°

Sum the parts of the ratio, 5 + 7 = 12 parts

Divide 180° by 12 to find the value of one part of the ratio.

180° ÷ 12 = 15° ← value of 1 part of the ratio, thus

5 parts = 5 × 15° = 75°

7 parts = 7 × 15° = 105°