Question

one angle of a triangle is 60degree. the other two angles are in the ratio of 5:7 find the two angles

Answer 1

Let the common ratio be x
Therefore,the two angles are 5x and 7x
Now,
60degree+5x+7x=180degree (angle sum property of triangle)
5x+7x=180-60
12x =120degree
x= 120degree/12
x=10 degree
Therefore,the two angles are 5x=5×10=50 degree and
7x=7×10=70 degree

Answer 2

Let one angel= 5x
other= 7x

So,
By Angle sum property of a ∆ we have,

60 + 5x + 7x =180

12x= 120

x= 10

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖
therefore,
Other two angles of ∆ :--

Angle one= 5x= 50°

Angle two= 7x= 70°