Find the value of x in a triangle
Asked by admin @ in Math viewed by 372 People
Find the value of x in the given below triangles.
Answered by admin @
Required to find :-
- The value of " x " ?
Concept used :-
- In a triangle sum of all angles is supplementary
- The word " supplementary " stands for 180°
Property used :-
- Angle sum property
Solution :-
Figure ( i )
Given angles ;
60° & 70°
By using sum angle property
60° + 70° + x = 180°
130° + x = 180°
x = 180° - 130°
x = 50°
Therefore,
Value of ' x ' is 50°
Figure ( ii )
Given angles ;
30° & 90°
( Since it is a right angled triangle one angle should be a right angle )
By using sum angle property
30° + 90° + x = 180°
120° + x = 180°
x = 180° - 120°
x = 60°
Therefore,
Value of ' x ' is 60°
Figure ( iii )
Given angles ;
40° & 40°
By using right angle property ,
40° + 40° + x = 180°
80° + x = 180°
x = 180° - 80°
x = 100°
Therefore,
Value of ' x ' = 100°
Additional Information :-
1. Types of triangles ;
- 1. Equilateral triangle ( all sides equal )
- 2. Isosceles triangle ( Any two sides are equal )
- 3. Scalene triangle ( All sides have different measures )
2. Other property in a triangle is ;
- Exterior angle property
3. Exterior angle property states that exterior angle is equal to the sum of two opposite interior angles .
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