Question

8. Find the angles III
(a) The angles are complementary and the smaller is 40 less than the larger
(b) The angles are complementary and the larger is four times the smaller
(C) The angles are supplementary and the smaller is one half of the larger.
(d) The angles are supplementary and the larger is 58° more than the smallest
(e) The angles are supplementary and the larger is 20" less than three times the salles
( The angles are adjacent and form an angle of 140°. The smaller is 28º less than the larger​

Answer 1

Answer:

a Let the smaller angle be y degrees

Therefore, the larger angle = y + 40 degrees

y + y + 40 = 90

2y + 40 = 90

2y = 90 - 40 = 50

y = 50/2 = 25 degrees

y + 40 = 25 + 40 = 65 degrees

The smaller angle = 25 degrees

The larger angle = 65 degrees

b Let the smaller angle be x

Acc. To Question,

x+4x=90

5x=90

x=18

Therefore

Smaller angle= 18 and larger angle=72