the angle of the ratio are 2:3:7find the measure of the smallest angle
Answers
30°
Step-by-step explanation:
Correct question :-
The angles of the triangle are in ratio 2 : 3 : 7, find the measure of the smallest angle.
Solution -
Let the three angles as 2x, 3x and 7x respectively
Sum of all angles of triangle = 180°
=> 2x + 3x + 7x = 180°
=> 12x = 180°
=> x = 180/12°
=> x = 15°
The smallest angle = 2x = 2×15° = 30°
Hence the measure of smallest angle is 30°.
hope it helps.
Step-by-step explanation:
Given :-
The ratio of the angles of a triangle is 2:3:7
To find :-
Find the measure of the smallest angle ?
Solution :-
Method-1:-
Given that
The ratio of the angles of a triangle = 2:3:7
Let they be 2X° , 3X° and 7X°
We know that
The sum of all the three angles in a triangle is 180°
=> 2X° + 3X° + 7X° = 180°
=> 12X° = 180°
=> X° = 180°/12
=> X° = 15°
So,
2X° = 2×15° = 30°
3X° = 3×15° = 45°
7X° = 7×15° = 105°
The smallest angle = 30°
Method-2:-
Given that
The ratio of the angles of a triangle = 2:3:7
Total parts = 2+3+7 = 12
We know that
The sum of all the three angles in a triangle is 180°
Total parts = 180°
=> 12 parts = 180°
Each part = 180°/12 = 15°
Smallest parts = 2
2 parts = 2×15° = 30°
The smallest angle = 30°
Answer:-
The smallest angle in a triangle = 30°
Used formulae:-
Angle Sum Property:-
- The sum of all the three angles in a triangle is 180°