the greatest angle in a pair of suplementary angles that differ by 36 degree

Question

with explanaetion I want sir

Answer 1

If a and b are supplementary, then a + b = 180°, so b = 180° - a.

 

Now you have to decide whether you're naming the angles so that a > 180° - a or vice versa.

 

If a > 180° - a, then a - (180° - a) = 36°.  Solve for a, and you're done.

 

(Otherwise,  (180° - a) - a = 36°.  Solve for a, and subtract from 180°.)

Answer 2

Supplementary angles add to 180^o.  Let x = one of the angles.  The other is x+36.

 

x + x + 36 = 180^o

 

Solve for x.  Remember, the greater angle is x + 36^o.