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In a convex quadrilateral, the measure of the largest angle is twice the measure of the smallest angle, and the other two angles are both right angles. How many degrees are in the largest angle?

SmartMathMan  Dec 5, 2017
 #1
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The four interior angles will sum to 360“

 

So  call the smallest angle x  and the largest angle 2x

 

So

 

90 + 90  +  x  +  2x  =  360

 

180  +  3x   =   360     subtract 180 from both sides

 

3x  =  180    divide both sides by 3

 

x  =  60°

 

And the largest angle  = 2 (60°)   =  120°

 

 

cool cool cool

CPhill  Dec 5, 2017

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