if angels of a triangle are in the ratio 4:4:2 find angles
Answers
Answered by
0
Answer:
36 , 72 , 72
Step-by-step explanation:
Let The Angles be x
4x + 4x + 2x =180
10 x =180
x =18
hence
2x = 36
4x = 72
4x =72
hence angles are 36 ,72,72
Answered by
3
AnswEr :-
- The angles are 72°, 72° and 36°.
Given :-
- Angles of a triangle are in the ratio 4:4:2.
To Find :-
- Measure of the angles.
SoluTion :-
Here ,
angles are in the ratio 4:4:2
Put x in ratio.
Then,
angles are
- 4x
- 4x
- 2x
As we know that the sum of all angles of a triangle is 180°
According to question :-
4x + 4x + 2x = 180
→ 8x + 2x = 180
→ 10x = 180
→ x = 180/10
→ x = 18
Put the value of x in the ratio
Now,
- 4x => 4 × 18 => 72°
- 4x => 4 × 18 => 72°
- 2x => 2 × 18 => 36°
Hence, the angles are 72°, 72° and 36°.
_____________________
Similar questions