the angels of a triangle are in the ratio 3:5:7 find the measure of each angle of the triangle
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Answered by
2
angles=36,60,72
Step-by-step explanation:
3x+5x+7x=180
15x=180
x=180÷15
x=12
angles of triangle =3x=3×12=36
=5x=5×12=60
=7x=7×12=84
Answered by
2
AnswEr :-
- The angles are 84°, 36° and 60°
Given :-
- Angles of a triangle are in the ratio 3:5:7.
To Find :-
- Measure of each angle of the triangle.
SoluTion :-
Here,
angles in the ratio are 3:5:7
Put x in the ratio.
Then,
angles are
- 3x
- 5x
- 7x
As we know that sum of all angles of a triangle is 180°
According to question :-
3x + 5x + 7x = 180
→ 8x + 7x = 180
→ 15x = 180
→ x = 180/15
→ x = 12
Put the value of x in the ratio
Now,
- 3x => 3 × 12 => 36°
- 5x => 5 × 12 => 60°
- 7x => 7 × 12 => 84°
Hence, the angles are 36°, 60° and 84°.
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