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Question

Question 16
If two adjacent angles of a parallelogram are (5x5) and (10x+35), then the ratio of these angles is ___________.
a) 1 : 3
b) 2 : 3
c) 1 : 4
d) 1 : 2

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Solution

We know that the adjacent angles of a parallelogram are supplementary, i.e. their sum is equal to 180,
(5x5)+(10x+35)=18015x+30=18015x=150x=10
Thus, the angles are (5×105)=45 and (10×10+35)=135.
Hence, the required ratio is 45:135, that is, 1 : 3.

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