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प्रश्न
Two complementary angles are such that two times the measure of one is equal to three times the measure of the other. The measure of the smaller angle is
पर्याय
45°
30°
36°
none of these
उत्तर
Let one angle be x°.
Then, the other complementary angle becomes (90 - x)°
It is given that two times the angle measuring x°is equal to three times the angle measuring (90 - x)°
Or, we can say that:
2x = 3(90 - x)
2x = 270 - 3x
2x + 3x = 270
5x = 270
On dividing both sides of the equation by 5,we get
`x = 270/5`
x = 54
Also, the other complementary angle becomes
90 - x = 90 - 54
= 36
Thus, the measure of the required smaller angle is 36°.
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संबंधित प्रश्न
In the given below fig, rays OA, OB, OC, OP and 0E have the common end point O. Show
that ∠AOB + ∠BOC + ∠COD + ∠DOE + ∠EOA = 360°.
In the below fig, POQ is a line. Ray OR is perpendicular to line OS is another ray lying
between rays OP and OR. Prove that ∠ROS = 1 (∠QOS − ∠POS).
Write the complement of an angle of measure x°.
Write the supplement of an angle of measure 2y°.
State, true or false:
A line segment 4 cm long can have only 2000 points in it.
State, true or false:
A ray has one endpoint and a line segment has two end-points.
Write the number of endpoints in
(a) a line segment AB
(b) a ray AB
(c) a line AB
In the given figure, BAC is a straight line.
Find:
(i) x
(ii) ∠AOB
(iii) ∠BOC
Write the complement of `1/2` of a right angle
Write the supplement of (90 + a + b)°
