Question

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

Answer 1

Step-by-step explanation:

Let the two angles of the triangle be 4x and 5x.

Then, as per the question, we know

third angle =4x+5x=9x

We know that sum of all the angles of a triangle is 180 ∘

.

∴4x+5x+9x=180 ∘

⇒18x=180 ∘

⇒x=10 ∘

....[On dividing both sides by 18]

So, first angle = 4x ∘

= 4×10 ∘

=40 ∘

,

second angle = 5x ∘

= 5×10 ∘

=50 ∘

and

and third angle = 9x ∘

= 9×10 ∘

=90 ∘