1.

seven times the measure of an angle is twice the measure of its supplement. Find the measures of both the angles.

Answer»

Let the measure of 1ST ANGLE be x and that of second (supplement) will be 180-x

According to the question,

7x = 2(180-x)
7x= 360 -2x
9x =360

So x = 40°
and hence 180-x=180-40=140°

Thus the REQUIRED angles have the measure 40° and 140°.



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