Advertisements
Advertisements
प्रश्न
An angle is equal to its supplement. Determine its measure.
Advertisements
उत्तर
Let the supplement of the angle be x°
According the given statement, the required angle is equal to its supplement, therefore, the required angle becomes x°.
Sine both the angles are supplementary, therefore, their sum must be equal to 180°
Or we can say that:
` x + x = 180°`
`2x = 180°`
`x = (180°)/2`
` x = 90°`
Hence, the required angle measures 90°.
APPEARS IN
संबंधित प्रश्न
If an angle is 30° more than one half of its complement, find the measure of the angle.
In the below fig, POQ is a line. Ray OR is perpendicular to line OS is another ray lying
between rays OP and OR. Prove that ∠ROS = 1 (∠QOS − ∠POS).

Fill in the blank so as to make the following statement true:
If the sum of two adjacent angles is 180°, then the ______ arms of the two angles are
opposite rays
Two straight lines AB and CD cut each other at O. If ∠BOD = 63°, then ∠BOC =
State, true or false:
Is 45° the supplement of 45°?
How many rays can be drawn through a fixed point O?
Write the complement of `1/2` of a right angle
Write the supplement of `1/5` of a right angle
AB, CD and EF are three lines intersecting at the same point.
(i) Find x, if y = 45° and z = 90°.
(ii) Find a, if x = 3a, y = 5x and r = 6x.

In the given figure, the arrows indicate parallel lines. State which angles are equal. Give a reason.

