Question

two angle of a traingle are in the ratio 2:3 and the third angle is 60 degree find the two other angle of traingle​

Answer 1

Answer:

Third angle of triangle=60°

Ratio of other two angles=2:3

Let the ratio be=2x:3x

Now,

According to Angle Sum Property

2x+3x+60°=180°

5x+60°=180°

5x=180°-60°

5x=120°

x=120°/5

x=24

Other two angles are=

2x=2×24

=48°

3x=3×24

=72°

Answer 2

$\bold{Question}$

Two angle of a traingle are in the ratio 2:3 and the third angle is 60 degree find the two other angle of traingle

$\bold{Solution}$

let the other two angle be 2x and 3X

we know that,

${\boxed{\sf{\red{sum\ of\ all\ angles\ in\ a\ triangle\ is\ 180°}}}}$

$\bold{a+b+c= 180}$

$\bold{2x + 3x + 60 = 180}$

$\bold{5x + 60 = 180}$

$\bold{5x = 180-60}$

$\bold{5x = 120}$

$\bold{x =24° }$

The measure of angles will be,

⠀

• 2x = 2 × 24 = 48°
• 3x = 3 × 24 = 72°.

Hence, the measure of each angle of a triangle is 48°,72° and 60° respectively.