one angle of a triangle is equal to the sum to other two angles are 7:8. find the angle of the triangle.
( Ans: 90,42,48)
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35
Answer:
- ∠A = 90°
- ∠B = 42°
- ∠C = 48°
Given :
- One angle of a triangle is equal to the sum to other two angles are 7:8.
To find :
- The angle of the triangle =?
Step-by-step explanation:
Let the other two angles of the traingle be 7 x and 8x.
One angle is equal to the sum of other two angles, So (7x + 8x) = 15x.
We know that,
Sum of all angles of traingle = 180°.
So, ∠A + ∠B + ∠C = 180°
Substituting the values, we get,
15x + 7x + 8x = 180
30x = 180
x = 180/30
x = 6
Hence,
∠A = 15x ➮ 15 × 6 = 90°
∠B = 7x ➮ 7 × 6 = 42°
∠C = 8x ➮ 8 × 6 = 48°
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