Question

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

Answer 1

Ratio of the two angles= 4:5

Let the two angles be 4x and 5x.

Thus, the third angle =4x+5x=9x.

Now, we know that sum of angles in a triangle = 180 degree.

Thus,

4x+5x+9x=180

18x =180

x=180/18=10

Thus,

the angles are:-

.

4x=4×10=40 degree

5x=5×10=50 degree

anf the last one.

9x=9×10=90 degree

Answer 2

let angles be a,b and c

Then

a=4/9(a+b) →(1)

b=5/9(a+b)→(2)

a+b=c→(3)

a+b+c=180→(4)

sub(3) in (4)

i.e 2c=180

c=90

sub c=90 in (1) and (2)

a=40

b=50

Hope this helps