Question

17. If the angles of a triangle are in the ratio 4: 5:9, find the measures of the angel
of the triangle and name the type of triangle​

Answer 1

Let
1st =4x
2nd=5x
3rd=9x

Therefore; we know that the sum of all angles of a triangle is equal to 180 degree.

Therefore;
<1 +<2+<3 = 180*
4x + 5x +9x = 180*
18x = 180*
x= 180/18
x=10 cm

Therefore,
4x = 4*10= 40
5x = 5*10=50
9x = 9*10=90

Ans => Measures of the angles are 40degree,50degree and 90degree respectively. And It is a scelene triangle.

Answer 2

Answer:

<1+<2+<3=180

4x + 5x + 9x = 180

18x = 180

X = 180 / 18

x= 10 cm

therefore

4x=4×10 = 40

5x=5×10=50

9x=9×10=90