If the angle of triangle are in the ratio 2:3:4 determine the angles
Answers
Answered by
9
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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Answered by
11
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
Now, we need to find all other angles.
- First angle was 2x. So 2*20 = 40 degree.
- Second angle was 3x. So 3*20 = 60 degree.
- 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.
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