The measures of two adjacent angles of a parallelogram
are in the ratio of 5:13. Find the measure of all its
angles.
Answers
Answered by
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Step-by-step explanation:
let angles be a, b, c, d
a and b are adjacent angels
consider a=5x and b=13x
As adjacent angles of parallelogram are supplementary
so a+b=180°
5x + 13x = 180°
18x = 180°
x = 180°/18
x= 10°
As opposite angels in parallelogram are equal
so, a = c = 5x = 5×10 = 50°
b = d = 13x = 13×10 = 130°
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