Question

of the three angles of a triangle one is three times the smallest angle and other is five time te smallest angle.find the measures of all the angles of a triangle​

Answer 1

Answer: First Angle(Smallest) = 20°

Second Angle = 60°

Third Angle = 100°

Step-by-step explanation:

Here is your Answer Mate,

Let the smallest angle be x,

The second angle is 3 times the smaller angle that is,

Second angle = 3x

Third angle is 5 times the smaller angle that is,

Third angle = 5x

Now,

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

So the equation formed is ,

x + 3x + 5x = 180

9x = 180

x = 180 / 9

x = 20

Now we know that the measure of smaller angle which was x is 20°,

The second angle was 3 times the smaller angle so,

Second Angle = 3 * 20

= 60°

Third angle was 5 times the smaller angle so,

Third angle = 5 * 20

= 100°

Hope this helps you Mate