Advertisements
Advertisements
प्रश्न
Measures (in degrees) of two supplementary angles are consecutive odd integers. Find the angles.
Advertisements
उत्तर
Let one angle be 2x + 1, then the other angle is 2x + 3.
We know that the sum of the measures of the supplementary angles is 180°.
According to the question,
2x + 1 + 2x + 3 = 180°
⇒ 4x + 4 = 180°
⇒ 4x = 180° – 4 = 176°
⇒ x = `176^circ/4` = 44°
∴ 2x + 1 = 2 × 44° + 1 = 88° + 1 = 89°
And 2x + 3 = 2 × 44° + 3 = 88° + 3 = 91°
Thus, one angle is 89° and other is 91°.
APPEARS IN
संबंधित प्रश्न
If two angles are supplementary, then the sum of their measures is _______.
Write the measure of the supplement of the angle given below.
37°
Find the measure of the supplements of the following angle.
47°
Find the measure of the supplements of the following angle.
180°
What will be the measure of the supplement of the following angles?
55º
Find the measure of the supplement of an angle of 135°.
If the sum of measures of two angles is 180°, then they are ______.
Two right angles are always supplementary to each other.
One obtuse angle and one acute angle can make a pair of supplementary angles.
If the complement of an angle is 62°, then find its supplement.
