Advertisements
Advertisements
Question
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
Options
45°
30°
36°
none of these
Advertisements
Solution
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°.
APPEARS IN
RELATED QUESTIONS
statement are true and false
If angles forming a linear pair are equal, then each of these angles is of measure 90°.
The supplement of a right angle is ..............
One angle is equal to three times its supplement. The measure of the angle is
In the given figure, AB || CD || EF and GH || KL. The measure of ∠HKL is
State, true or false:
A line segment 4 cm long can have only 2000 points in it.
State, true or false:
A line segment is the shortest distance between any two given points.
How many lines can be drawn through three
(a) collinear points?
(b) non-collinear points?
In the given figure, find ∠PQR.
In the given figure, if x = 2y, find x and y
Write the complement of 25°
