Question

one of the angle of the traingle is equal to the sum of the other two angle . if the ratio of the other two angle is 4:5 , find the angle of the traingle

Answer 1

Answer:

                              (4x+5x)=90

                              4x=40

                               5x=50

Step-by-step explanation:

given : angles are in the ratio 4;5

find the angles

let the ratios be x

so one angle (4x+5x), other angle 4x, other 5x

(4x+5x)+4x+5x=180

9x+9x=180

18x=180

x=180/18

x=10

so the angles are (4x+5x)=90

                              4x=40

                               5x=50

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Answer 2

let, the two angles be 4x, 5x.

given, <1+<2=<3

we know that, <1+<2+<3=180°(angle sum property)

4x+5x=90°

9x=90°

x=90°/9

therefore, x=10°

now <3=4×10+5×10

<3=40+50°

<3=90°