Q. 24.1( 22 Votes )

Find the measure of all the angles of a parallelogram, if one angle is 24° less than the twice of the smallest angle.

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°


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Critical Thinking Problems on QuadrilateralsCritical Thinking Problems on QuadrilateralsCritical Thinking Problems on Quadrilaterals44 mins
Quiz | Properties of ParallelogramQuiz | Properties of ParallelogramQuiz | Properties of Parallelogram31 mins
Quiz | Basics of QuadrilateralsQuiz | Basics of QuadrilateralsQuiz | Basics of Quadrilaterals36 mins
RD Sharma |  Extra Qs. of Cyclic QuadrilateralsRD Sharma |  Extra Qs. of Cyclic QuadrilateralsRD Sharma | Extra Qs. of Cyclic Quadrilaterals31 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :