Question

If the ratio of measures of two adjacent angles of a parallelogram is 1:2, find the measures of all angles of the parallelogram.​

Answer 1

Solution

Solutionverified

SolutionverifiedVerified by Toppr

SolutionverifiedVerified by TopprSolution :-

SolutionverifiedVerified by TopprSolution :-In parallelogram, sum of adjacent angles =180

SolutionverifiedVerified by TopprSolution :-In parallelogram, sum of adjacent angles =180Given they are in ratio 1:2.

SolutionverifiedVerified by TopprSolution :-In parallelogram, sum of adjacent angles =180Given they are in ratio 1:2.∴x+2x=180

SolutionverifiedVerified by TopprSolution :-In parallelogram, sum of adjacent angles =180Given they are in ratio 1:2.∴x+2x=180⇒3x=180

SolutionverifiedVerified by TopprSolution :-In parallelogram, sum of adjacent angles =180Given they are in ratio 1:2.∴x+2x=180⇒3x=180⇒x=60

SolutionverifiedVerified by TopprSolution :-In parallelogram, sum of adjacent angles =180Given they are in ratio 1:2.∴x+2x=180⇒3x=180⇒x=60∴ the angles are 60

SolutionverifiedVerified by TopprSolution :-In parallelogram, sum of adjacent angles =180Given they are in ratio 1:2.∴x+2x=180⇒3x=180⇒x=60∴ the angles are 60 ∘

SolutionverifiedVerified by TopprSolution :-In parallelogram, sum of adjacent angles =180Given they are in ratio 1:2.∴x+2x=180⇒3x=180⇒x=60∴ the angles are 60 ∘ ,120

SolutionverifiedVerified by TopprSolution :-In parallelogram, sum of adjacent angles =180Given they are in ratio 1:2.∴x+2x=180⇒3x=180⇒x=60∴ the angles are 60 ∘ ,120 ∘

SolutionverifiedVerified by TopprSolution :-In parallelogram, sum of adjacent angles =180Given they are in ratio 1:2.∴x+2x=180⇒3x=180⇒x=60∴ the angles are 60 ∘ ,120 ∘ ,60

SolutionverifiedVerified by TopprSolution :-In parallelogram, sum of adjacent angles =180Given they are in ratio 1:2.∴x+2x=180⇒3x=180⇒x=60∴ the angles are 60 ∘ ,120 ∘ ,60 ∘

SolutionverifiedVerified by TopprSolution :-In parallelogram, sum of adjacent angles =180Given they are in ratio 1:2.∴x+2x=180⇒3x=180⇒x=60∴ the angles are 60 ∘ ,120 ∘ ,60 ∘ ,120

SolutionverifiedVerified by TopprSolution :-In parallelogram, sum of adjacent angles =180Given they are in ratio 1:2.∴x+2x=180⇒3x=180⇒x=60∴ the angles are 60 ∘ ,120 ∘ ,60 ∘ ,120 ∘