one angle of a parallelogram is 118 degree,find its other angles.
Since opposite angles in a parallelogram are equal and the adjacent angles are equal to 180
180 - 118
= 62
Answer is 62, 62, and 118
To find the other angles of a parallelogram when one angle is given, you should first understand the properties of a parallelogram.
In a parallelogram:
- Opposite angles are equal.
- Adjacent angles are supplementary (they add up to 180 degrees).
Given that one angle of the parallelogram is 118 degrees, let's consider the adjacent angle. Since the adjacent angles in a parallelogram are supplementary, we can find the adjacent angle by subtracting the given angle from 180 degrees:
Adjacent angle = 180 degrees - 118 degrees
Adjacent angle = 62 degrees
Now, we know the measure of one angle and its adjacent angle. As mentioned earlier, opposite angles in a parallelogram are equal. Therefore, the opposite angle to the given angle will also be 118 degrees.
To summarize, the angles of the parallelogram are:
- Given angle = 118 degrees
- Adjacent angle = 62 degrees
- Opposite angle to the given angle = 118 degrees
In parallelogram, opposite angles are equal, adjacent angles are equal to 180°.
180° - 118° = 62°
62° , 118°
62° , 118°