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Question

Ankush prepared a poster in the form of a parallelogram, as in the figure.
(i) If A=(5x+7) and B=(3x3), find all the angles of parallelogram ABCD.
(ii) Which mathematical concept is used in this question?
(iii) By writing a slogan on the poster, which value is depicted by Ankush?  [4 MARKS]


Solution

Concept: 2 Marks
Application: 2 Marks


(i) Since sum of adjacent angles of a parallelogram is 180

We have          A+B=180
5x+7+3x3=180
8x+4=180
8x=176
x=1768=22
A=(5x+7)=(5×22+7)=117
B=(3x3)=(3×223)=63
C=A=117     (opposite angles of parallelogram)
D=A=63      (opposite angles of parallelogram)

(ii) Properties of a parallelogram

(iii) Energy conservation is very much necessary to have a happy and prosperous future.

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