Advertisements
Advertisements
Question
Find the angle that is three times its complementary angle.
Solution
Let given angle = x
Let complementary angle of a given angle is y
∴ then x + y = 90
But x = 3y
∴ 3y + y = 90°
⇒ 4y = 90°
⇒ y = `90^circ/4` = 22.5°
∴ complementary = x = 90° - 22 - 5° = 67.5°
APPEARS IN
RELATED QUESTIONS
In the given figure, lines AB and CD intersect at point O.
(i) Find the value of ∠a.
(ii) Name all the pairs of vertically opposite angles.
(iii) Name all the pairs of adjacent angles.
(iv) Name all the reflex angles formed and write the measure of each.
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 complement angle of: (x – 10)°
Write the supplement angle of: 20° + y°
Two supplementary angles are in the ratio 7 : 11. Find the angles.
The measures of two supplementary angles are (3x + 15)° and (2x + 5)°. Find x.
Find the angle formed by the arms of a clock at 9 O’clock.
Find the angle formed by the arms of a clock at 12 O’clock.
Use the adjoining figure to find: (i) ∠BOD (ii) ∠AOC
Two adjacent angles forming a linear pair are in the ratio 7:5, find the angles.
