If the measures of the exterior angles of the acute angles of a right triangle are 2x+15 and 3x+5, find the measures of the acute angles.

Ans:

Remember that the sum of the angle + the exterior angle is 180.

Also that the sum of the 3 angles of the triangle is 180. In the right triangle,

since one angle is 90, the sum of the other 2 acute angles is 90 as well.



If the 2 acute angles are A and B,





Similarly,



So 



A + B = 90

So, 

Combining like terms,







So the first acute angle A =  =  = 

The second acute angle B =  =  = 



Hope you got it :) 

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