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Question

An obtuse angle of a rhombus is greater than twice the acute angle by 30o . Find the measure of each angle.

A
50o,130o
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B
60o,150o
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C
40o,100o
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D
40o,110o
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Solution

The correct option is A 50o,130o
Let the acute angles of the rhombus be x and obtuse angles of the rhombus be y
Given that y=2x+30o

We know, the sum of two adjacent angles of a rhumbus is 180o
x+y=180o
x+2x+30o=180o
3x=150o
x=50o

So, y=2×50o+30o=130o

Hence.the measure of acute angle is 50o and the measure of obtuse angle is 130o.

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