the measures of an angle and its supplement gives the same quotient when divided by 7 and 13 respectively. Find the measure of the angle.

Question

the measures of an angle and its supplement gives the same quotient when divided by 7 and 13 respectively. Find the measure of the angle.

 

plz sole it fast

Answer 1

Hi Abhi,

 

suppose measure of an angle =x

 so supplement of an angle x would be 180-x

 

x/7 = 180-x/13

 

cross multiplying, we get,

13x =1260-7x

 

20x=1260

 

x=63

 

angle= 63°   supplement of an angle = 180-x=117°

check, 63/7=9, 117/13= 9