5) An obtuse angle of a rhombus is greater than twice then acute angle by 30°. Find
the measure of 8.
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An obtuse angle of a rhombus is greater than twice the acute angle by 30^o . Find the measure of each angle.
Let the acute angle of rhombus be x and obtuse angle of rhombus be y
Given that y=2x+30
o
We have x+y=180
o
⇒x+2x+30
o
=180
o
⇒3x=150
o
⇒x=50
o
The measure of acute angle is 50
o
and the measure of obtuse angle is 130
o
.
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