Question

if one angle of triangle is 75 degree and other angle are in the ratio 2 : 3 the angle are

Answer 1

let it 2x and 3x
Sum of angles of a triangle=180°
75+2x+3x=180
75+5x=180
5x=180-75
x=21
other angles
2x=2×21=42°
3x=3×21=63°

Answer 2

Proper Question :

if one angle of triangle is 75° and other angle are in the ratio 2 : 3 the angle are ?

Method of Solution:

Let to be other angles of Triangle is x.

Now, According to the Question Statement!

Statement : Other Two angles of Triangle are in the ratio 2:3

•°• From We know that Sum of all angles of Triangle is 180°.

✓A + ✓B + ✓ C = 180°

✏ 75° + 2x + 3x = 180°

✏ 75° + 5x = 180°

✏ 5x = 180° - 75°

✏ 5x = 105°

✏ x = 105°/5°

✏ x = 21°

Substituting the obtained value in Given Equation!

Other Sides of triangle are in the Ratio such as 2:3

First Angle = 75°

Second Angle = 2x => 2(21) = 42°

Third Angle = 3x => 3(21) = 63°

Hence, Required angle of Triangle are 75°, 63° and 42°