Question

the angle of a triangle are in ratio 1:3:5 find the measure angle

Answer 1

let angles of triangle be 1x or x ,3x,5x.
according to angle sum property of a triangle,
x+3x+5x = 180
on solving you get x = 20
now , on putting value of x in angles we get,
angle 1 = 20×1=20
angle2=3×20=60
and angle 3=5×20=100

Answer 2

Given:-

The ratio of the angles are 1 : 3 : 5

To find:-

measures of the angles

➜Let, Consider the angle as-

➜5x

➜3x

➜x

We know that sum of the angles are-

➜180°

$5x + 3x + x = 180$

$9x = 180$

$x = \frac{180}{9}$

$x = 20$

One angle is 20°

Value of second angle

➜5x

➜5×20

➜100

➜second angle is 100°

Value of third angle

➜3x

➜3×20

➜60°

➜third angle is 60°

So the angle are-

• 100°
• 20°
• 60°