Two adjacent angles of a paralle logram are congruent. What is the measure of each? ​

Question

Two adjacent angles of a paralle
logram are congruent. What is the measure of
each?

​

in progress 0
Lệ Thu 3 years 2021-08-01T09:34:59+00:00 1 Answers 10 views 0

Answers ( )

  1. RobertKer
    0
    2021-08-01T09:36:55+00:00
    Reply

    Answer:

    90^{\circ}. In other words, these two angles are both right angles, and this parallelogram would be a rectangle.

    Step-by-step explanation:

    Two angles that congruent have the same size.

    At the same time, those two adjacent angles of this parallelogram would be a pair of consecutive interior angles. Because the two sides of a parallelogram are parallel to one another, the sum of these two consecutive interior angles would be 180^{\circ}– they are supplementary to one another.

    Let the two angles be \angle1 and \angle 2.

    \angle 1 = \angle 2 because the two angles are congruent.

    \angle 1 + \angle 2 = 180^{\circ} because these two angles are adjacent angles of a parallelogram.

    Hence, \displaystyle \angle 1 = \angle 2 = \frac{1}{2} \times 180{^\circ} = 90^{\circ}.

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )