Question

two angle of a triangle are in the ratio 4:5 if the sum of other two angles is equal to the third angle find the angle of triangle​

Answer 1

Answer:

let the 2 angles be 4x and 5x respectively

then 3rd angle be

4x+5x=9x

according to question

5x+4x+9x=180(angle sum property)

18x=180

x=10

hence,

three angles be 40,50,90

Answer 2

Answer:

90°(Right Angle)

Step-by-step explanation:

We know that:

•Ratio of given angles are 4:5.

•Sum of both the angles is the measurement of third angle.

•Sum of All Angles in a triangle is equal to 180°.

Let the common factor of the angles be x

4=>4×x=4x

5=>5×x=5x

Third angle=>4x+5x=9x

4x+5x+9x=180°

18x=180°

x=180

18

x=10

4x=>4×10=40°

5x=>5×10=50°

9x=>9×10=90°

9x=90° Ans.