Notifications
Clear all
Understanding Quadrilaterals
1
Posts
2
Users
0
Likes
266
Views
0
07/08/2021 10:35 am
Topic starter
The measures of two adjacent angles of a parallelogram are in the ratio 3 : 2. Find the measure of each of the angles of the parallelogram.
1 Answer
0
07/08/2021 10:36 am
Let the measures of two adjacent angles ∠A and ∠B be 3x and 2x respectively in parallelogram ABCD.
∠A + ∠B = 180°
⇒ 3x + 2x = 180°
⇒ 5x = 180°
⇒ x = 36°
We know that opposite sides of a parallelogram are equal.
∠A = ∠C = 3x
= 3 × 36° = 108°
∠B = ∠D = 2x
= 2 × 36° = 72°