Question

If the angle of triangle are in the ratio 2:3:4 determine the angles

Answer 1

Answer:

let the ratios be x

then , angle A = 2x

B=3x

C=4x

as we a know that the sum of all three sides in a triangle is 180°

so,

A + B + C = 180°

2x + 3x + 4x = 180°

9x = 180°

x = 20°

hence

A= 2×20° = 40°

B= 3 × 20° = 60°

C = 4 ×20° = 80°

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Answer 2

Answer:

Step-by-step explanation:

ANSWER:-

Given that:-

• Angles are in the ratio 2:3:4
• So let us consider one angle as 2x
• Let us consider one angle as 3x
• Let us consider one angle as 4x.

Now, we know that sum of all angles of a Triangle is 180 degree.

So, according to Question:-

2x+3x+4x = 180

9x = 180

$\boxed{\sf{x = 20 \ degree}}$

Now, we need to find all other angles.

1. First angle was 2x. So 2*20 = 40 degree.
2. Second angle was 3x. So 3*20 = 60 degree.
3. Third angle was 4x. So 4*20 = 80 degree.

Note:-

• The sum of all angles of a triangle is 180 degree.
• The sum of all Quadrilateral is 360 degree.
• Complementary angles are those whose sum is equal to 90 degree.
• Supplementary angles are those angles whose sum equals 180 degree. Hence these all are supplementary angles.