475,464 views
41 votes
41 votes
Two complementary angles are in the ratio 5 to 7 find the angles

User Garzahd
by
3.0k points

1 Answer

22 votes
22 votes

Answer:

37.5°, 52.5°

Explanation:

Let the two angles be 5x and 7x

Total ratio= 5+7 =12

5x = (5/12) ×90° ( sum of complementary angles = 90°)

= (5/2)×15°

75/2= 37.5°

Similarly

7x = (7/2)×15°

=105/2= 52.5°

Verification

37.5°+52.5°=90° (sum of complementary angles= 90°)

User Ckonig
by
3.2k points