Question

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 1

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

Answer 2

Answer:

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Step-by-step explanation:

So, 1st angle = 1x = 45°. and 2nd angle = 3x = 45°× 3 = 135°.