two angles of a triangle are in the ratio 4:5 if the sumof these angles is equal to the third angle, find the angle of a triangles
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Answered by
0
Answer:
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
∘
Answered by
5
Step-by-step explanation:
let the third angle be x
so,4x+5x+x=180
10x=180
x=18
so,1st angle = 72
2nd angle= 90
3rd angle = 18
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