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प्रश्न
Two adjacent angles forming a linear pair are in the ratio 7:5, find the angles.
उत्तर
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°
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संबंधित प्रश्न
In the given figure:
(i) If ∠AOB = 45°, ∠BOC = 30° and ∠AOD= 110°; find : angles COD and BOD.
(ii) If ∠BOC = ∠DOC = 34° and ∠AOD = 120° ; find : angle AOB and angle AOC.
(iii) If ∠AOB = ∠BOC = ∠COD = 38° find : reflex angle AOC and reflex angle AOD.
Write the supplement angle of: 111°
Write the complement angle of: `1/2` of 60°
60% of 100°
Find the angle that is equal to its supplement?
Explain what do you understand by Adjacent angles?
Find the angle formed by the arms of a clock at 6 O’clock.
Find the angle formed by the arms of a clock at 9 O’clock.
For an angle y°, find:
(i) its supplementary angle.
(ii) its complementary angle.
(iii) the value of y° if its supplement is four times its complement.
Find the angle that is three times its complementary angle.
