The measure of two adjacent angles of a parallelogram are in the ratio

1.	The measure of two adjacent angles of a parallelogram are in the ratio 1:3 . Find the measure of each of the angles of the parallelogram.
Answer» Answer: Ratio of the ANGLES of the parallelogram =1:3 SUM of the adjacent angles of the parallelogram =180∘ LET the adjacent angles are ∠A and ∠B . ∠A=x ∠B=3x ∠A+∠B=x+3x { ∠A+∠B=180 } 4x=180 x=45 ∠A=45 ∠B=45×3=135

The measure of two adjacent angles of a parallelogram are in the ratio 1:3 . Find the measure of each of the angles of the parallelogram.

Answer»

Answer:

Ratio of the ANGLES of the parallelogram =1:3

SUM of the adjacent angles of the parallelogram =180∘

LET the adjacent angles are ∠A and ∠B .

∠A=x

∠B=3x

∠A+∠B=x+3x { ∠A+∠B=180 }

4x=180

x=45

∠A=45

∠B=45×3=135