Advertisements
Advertisements
Question
If two supplementary angles are in the ratio 1 : 2, then the bigger angle is ______.
Options
120°
125°
110°
90°
Advertisements
Solution
If two supplementary angles are in the ratio 1 : 2, then the bigger angle is 120°.
Explanation:
We know that, when the sum of the measures of two angles is 180°, then the angles are called supplementary angles.
Let us assume two angles be 1x and 2x.
∴ 1x + 2x = 180°
⇒ 3x = 180°
⇒ x = `180^circ/3`
⇒ x = 60°
∴ The bigger angle is 2x = 2 × 60° = 120°.
APPEARS IN
RELATED QUESTIONS
Identify the given pair of angles are complementary or supplementary.
65°, 115°
Can two angles be supplementary if both of them are right?
Write the measure of the supplement of the angle given below.
37°
Find the supplementary angle of 35°
From the figure name a pair of supplementary angles
Write the measure of the supplementary angle of the following angles
135°
The measure of an angle which is four times its supplement is ______.
Two supplementary angles are always obtuse angles.
Two right angles are always supplementary to each other.
Both angles of a pair of supplementary angles can never be acute angles.
