Question

one side of a triangle is produced and the exterior angle so formed is 140 degree. if the corresponding interior opposite angles are in the ratio 3:4, find the measure of all the angles of the triangle​

Answer 1

Answer:

40,60,80

Step-by-step explanation:

let the interior angles be 3x and 4x respectively

now we know sum of opposite interior angles=exterior angle

3x+4x=140

7x=140

x=20

now angle 1 =3x=3×20=60

angle 2=4x=4×20=80

let third angle=y

y+60+80=180

y=180-140

y=40

Answer 2

Answer:

• Exterior Angle = Sum of opposite interior angles.

We have -

• Exterior angle = 140°

Let the ratios be 3x & 4x

So ,

$\rarr \: 3x + 4x = 140$

$\rarr \: 7x = 140$

$\rarr \color{blue}{x = 20 {}^{ \circ}}$

So ,

Angles

• 3x = 3×20 = 60°
• 4x = 4×20 = 80°

And ,

• Third angle = 180°-{60+80}
• Third angle = 40°