Advertisements
Advertisements
Question
Two adjacent angles forming a linear pair are in the ratio 7:5, find the angles.
Solution
In the given figure, ∠AOC and ∠BOC are adjacent angles which form a linear pair
∴ ∠AOC ∠BOC = 180°
But ∠AOC : ∠BOC = 7 : 5
Let ∠AOC = 7x and ∠BOC = 5x
∴ 7x + 5x = 180°
⇒ 12x = 180°
⇒ x = `180^circ/12 = 15^circ`
∴ ∠AOC = 7x = 7 × 15 = 105°
and ∠BOC = 5x = 5 × 15 = 75°
APPEARS IN
RELATED QUESTIONS
Write the supplement angle of: 20° + y°
Write the complement angle of: `2/5` of 70°
50% of 120°
Two complementary angles are in the ratio 7 : 8. Find the angles.
Two supplementary angles are in the ratio 7 : 11. Find the angles.
For an angle x°, find:
(i) the complementary angle
(ii) the supplementary angle
(iii) the value of x° if its supplementary angle is three times its complementary angle.
Explain what do you understand by complementary angles?
Find the angle formed by the arms of a clock at 9 O’clock.
Use the adjoining figure to find: (i) ∠BOD (ii) ∠AOC
Find the angle that is three times its complementary angle.
