Question

The angles of a triangle are in the ratio 3 : 5 : 7. Find the measure of each angle of a triangle.

Answer 1

Let the angle be = x
Let first angle be = 3x
Let second angle be = 5x
Let third angle be = 7x

So,
Using angle sum property,
3x+5x+7x = 180
x = 12 degree
Therefore,
First angle = 36 degree
Second angle = 60 degree
Third angle = 84 degree

Answer 2

Answer:

36°, 60°, 84°

Step-by-step explanation:

1st angle

$= \frac{3}{(3 + 5 + 7)} \times 180 = 3 \times \frac{180}{15} = 3 \times 12 = 36$

2nd angle

$= \frac{5}{15} \times 180 = 60$

3rd angle

$= \frac{7}{15} \times 180 = 7 \times 12 = 84$

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