Question

The triangle are in the ratio 3:2:7 . find each angle

Answer 1

Ratios = 3 : 2 : 7

Whole = Sum of ratios = 3 + 2 + 7 = 12

1st angle is

$\frac{3}{12} \times 180 = 45$

Similarly 2nd and 3rd angle is

$\frac{2}{12} \times 180 = 30 \\ and \: \frac{7}{12} \times 180 = 105$

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Answer 2

Step-by-step explanation:

QUESTION ASKED -

The triangle are in the ratio 3:2:7 . find each angle

ADDITIONAL -

SUM OF AN INTERIOR ANGLE OF TRIANGLE IS 180°

METHOD FOR SOLVING -

By just letting the angle as 2x, 3x and 7x and equating them to 180° , for finding out the value of x after than just multiplying the Value of x to each angles.

SOLUTION -

Let , the angle be 2x ,3x and 7x

so,

2x + 3x + 7x = 180° ( sum of interior angle of triangle is 180°)

12x = 180°

x = 180/12

x = 15°

Hence,

2x = 30°

3x= 45°

7x= 105° answer