Question

One angle of a triangle is 70.The other two angles are in ratio 2:3. Find the measure of these angles.​

Answer 1

Step-by-step explanation:

one angle of triangle = 70°

so, the sum of the other 2 angles = 180 - 70 = 110°

Other 2 angles are considered as x & x-20

& x + x-20 = 110

=> 2x - 20 = 110

=> 2x = 130

=> x = 130/2 = 65°

& x-20 = 65–20 = 45°

So, the other 2 angles are 65° & 45°

Answer 2

let 1st angle be 2x.

then, 2nd angle will be 3x.

by angle sum property,

/_1 + /_2 + /_3 = 180°

2x + 3x + 70° = 180°

5x = 180° - 70°

x = 110°/5

x = 22

1st angle = 2x

= 44°

2nd angle = 3x

= 66°