Question

6. Two angles of a triangle are in the ratio 4:5. If the sum of these angles is equal to the third angle find the angles of the triangle ​

Answer 1

Answer:

3:4

Step-by-step explanation:

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Answer 2

Answer:

Let,Angle A be x°

Angle B be y°

By 1st condition,

x:y =4:5

5x =4y..........(1)

By 2nd condition,

Angle C = x+y......(2)

Angle A + AngleB + Angle C = 180°......... property of triangle

x+ y +x+y = 180°

2(x+y) =180°

x+ y =180°/2

x + y= 90°.......(3)

Multiply equation(3) by 4

4x +4y = 360°

4x +5x = 360°........... from (1)

9x = 360°

x = 360/9

x=40°

Put x= 40° in equation 3

x + y= 90°

y= 90-40

y= 50°

Angle A =x=40°

AngleB =y =50°

Angle C = x+y = 90°