Question

Two angles of a triangle are in the ratio 4:5 if the sum of these angles is equal to the thrid angle find the angle of the triangle

Answer 1

Let the two angles be 4x and 5x.

The sum of 4x and 5x is equal to the third angle. So 4x + 5x = 9x

4x + 5x + 9x = 180° (Angle Sum Property)

18x = 180°

x = 180°/18

x = 10°

Therefore the angles are:

4x = 4*10 = 40°

5x = 5*10 = 50°

9x = 9*10 = 90°

Hope it helps :)

Answer 2

sum of all angles of triangle =180
sum of two sides if tringle = 4:5
by that take
4 = 4x and 5 = 5x

4x+5x+x= 180
10x = 180
x = 180/10
x = 18
substituting
4x = 4(18) = 72
5x = 5(18) = 90
x = 18 answer

checking
72 + 90 + 18 = 180 (sum of all angles of triangle)
180 = 180
hence , answer is chevked