Advertisements
Advertisements
Question
An angle which is half of its supplement is of ______.
Advertisements
Solution
An angle which is half of its supplement is of 60°.
Explanation:
Let the required angle be x.
Then, its supplement will be (180° – x).
It is given that x is half of its supplement i.e. (180° – x).
Therefore, x = `1/2`(180° – x)
⇒ 2x = 180° – x
⇒ 2x + x = 180°
⇒ 3x = 180°
⇒ x = `180^circ/3`
⇒ x = 60°
APPEARS IN
RELATED QUESTIONS
Find the supplement of the following angle:
Identify the given pair of angles are complementary or supplementary.
65°, 115°
Write the measure of the supplement of the angle given below.
120°
What will be the measure of the supplement of the following angles?
100º
Find the supplementary/complementary angle
From the figure name a pair of supplementary angles
Two supplementary angles are in ratio 5 : 4. Find the angles
Two angles forming a ______ pair are supplementary.
If the complement of an angle is 62°, then find its supplement.
