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
Find the supplement of the following angle:
Find the angle which is equal to its supplement.
Write the measure of the supplement of the angle given below.
108°
Write the measure of the supplement of the angle given below.
0°
Find the measure of the supplements of the following angle.
180°
Two supplementary angles are in ratio 5 : 4. Find the angles
Write the measure of the supplementary angle of the following angles
95°
Angles which are both supplementary and vertically opposite are ______.
If the sum of measures of two angles is 180°, then they are ______.
Name the pairs of supplementary angles in the following figure:
