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Question
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.
Solution
For an angle x,
(i) Complementary angle of x° = (90° – x)
(ii) Supplementary angle of x° = (180° – x)
(iii) ∵‘Supplementary angle = 3 (complementary anlge)
180° - x = 3 (90°- x)
⇒ 180°- x = 270°- 3x
⇒-x + 3x = 270°- 180°
⇒ 2x = 90°
⇒ x = `90/2` = 45°
∴ x = 45°
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RELATED QUESTIONS
In the given figure ; AOC-is a straight line. If angle AOB = 50°, angle AOE = 90° and angle COD = 25° ; find the measure of:
(i) angle BOC
(ii) angle EOD
(iii) obtuse angle BOD
(iv) reflex angle BOD
(v) reflex angle COE.
In the given figure, AOB is a straight line. Find the value of x and also answer each of the following:
(i) ∠AOP = ……..
(ii) ∠BOP = ……..
(iii) which angle is obtuse?
(iv) which angle is acute?
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.
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