One angle of a parallelogram measures 86°. What are the measures of the other three angles
in the parallelogram
Since opposite angles of a parallelogram are congruent, the opposite angle to the 86° angle is also 86°. Therefore, the total of these two angles is 172°.
Since the sum of the angles in a parallelogram is 360°, we can find the sum of the other two angles by subtracting 172° from 360°:
360° - 172° = 188°
Since the opposite angles are congruent, the other two angles also have the same measure, let's call this x:
x + x = 188°
2x = 188°
x = 94°
Therefore, the other three angles in the parallelogram measure 86°, 86°, and 94°.
In a parallelogram, opposite angles are congruent. This means that if one angle measures 86°, then the opposite angle also measures 86°.
To find the measures of the other two angles in the parallelogram, we can use the fact that the sum of the angles in any quadrilateral is always 360°.
Let's call the remaining angles x and y.
Since opposite angles are congruent, we have:
x + 86° = 180° (opposite angles are supplementary)
y + 86° = 180° (opposite angles are supplementary)
To find x and y, we can subtract 86° from both sides of each equation:
x = 180° - 86° = 94°
y = 180° - 86° = 94°
Therefore, the measures of the other three angles in the parallelogram are 86°, 94°, and 94°.