Advertisements
Advertisements
Question
Which angle is equal to two-third of its supplement?
Advertisements
Solution
Let the angle be x
According to the problem,
x = `2/3` × (180° – x)
3x = 2(180° – x)
3x = 360° – 2x
3x + 2x = 360°
5x = 360°
x = `(360^circ)/5`
x = 72°
∴ The angle is 72°
APPEARS IN
RELATED QUESTIONS
Write the measure of the supplement of the angle given below.
108°
The difference between the measures of the two angles of a complementary pair is 40°. Find the measures of the two angles.
80° and 180° are supplementary
Write the measure of the supplementary angle of the following angles
80°
Write the measure of the supplementary angle of the following angles
95°
If two supplementary angles are in the ratio 1 : 2, then the bigger angle is ______.
If the sum of measures of two angles is 180°, then they are ______.
The supplement of a right angle is always ______ angle.
In the following figure, write all the pairs of supplementary angles.
If the complement of an angle is 62°, then find its supplement.
