Advertisements
Advertisements
Question
One angle is equal to three times its supplement. The measure of the angle is
Options
130°
135°
90°
120°
Advertisements
Solution
Let the supplement of the angle be x°
Therefore, according to the given statement, the required angle measures 3x°
Since the angles are supplementary, therefore their sum must be equal to 180°
Or we can say that
`x + 3x = 180`
`4x = 180`
`x =180/ 4`
` x =45`
Thus, the supplement of 45°angle measures
3x = 3(45°)
= 135°
APPEARS IN
RELATED QUESTIONS
If an angle is 28° less than its complement, find its measure.
Write the supplement of an angle of measure 2y°.
In the given figure, if l || m, what is the value of x?
out of \[\overleftrightarrow{AB},\overrightarrow{AB},\overleftarrow{AB}\] and `overline(AB)` which one has a fixed length?
Find y in the given figure.
In the given figure. p° = q° = r°, find each.
In the given figure, if x = 2y, find x and y
Write the complement of 90°
In the given figure, lines PQ, MN, and RS intersect at O. If x : y = 1 : 2 and z = 90°, find ∠ROM and ∠POR.
In the given figure, the arrows indicate parallel lines. State which angles are equal. Give a reason.
