Question

The first angle of a triangle is 1/3 its second angle whereas the third angle is 5 times the first angle. Find tye measure of all the angles of the triangle. <br />​

Answer 1

Answer:

60°,20°,100°

Step-by-step explanation:

the sum of all the angles in an triangle is 180°

here we are writing the angles as x,y,z

as per the information

y=x/3 SO x=3y

z=5y

x+y+z=180

3y+y+5y=180

9y=180

y=20

x=3y

=3×20

=60

z=5y

=5×20

=100

60°,20°,100°

Answer 2

Step-by-step explanation:

Let the second angle be x. Then,

First angle= 1/3 × x = x/3

Third angle= x/3 ×5=5x/3

As we know that sum of all angles of a triangle is 180

x + x/3 + 5x/3 = 180

=>3x=180

=>x=60

Hence,

First angle= 60/3 =20

Second angle= 60

Third angle = 5×60/3=100

CHECKING

20+60+100=180

HENCE,

OUR ANSWER IS RIGHT.