Q. 24.1( 23 Votes )

Find the measure

Answer :


Given:- one angle is 24° less than the twice of the smallest angle


Formula used:- opposite angles of a parallelogram are equal


Corresponding angles sum is 180°


Solution:-


Let A and C be smallest because


A = C [opposite angles of a parallelogram are equal]


2 A+ 24° = B


A+ B=180° [Sum of corresponding angles is 180° ]


B=180°- A


Then,


2 A+ 24° =180° - A


3 A =180° - 24°


3 A=156°


A==52°


B=180° - A


B= 180° -52°


B=128°


B = D [opposite angles of a parallelogram are equal]


Conclusion:-


Angles of parallelogram = 52°, 128°, 52°, 128°


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