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Answers
Answer:
As we know that the sum of a triangle is 180 so to find the angle a,b and c and angle a=b=c
we know that the sum of an exterior angle is sum of two interior angle
Angle A+B=100—(1)
2A=100
A=50
so, angle a and b =50 ie 100
sum of triangle is 180
50+50+C=180
C=180-100
C=80
Angle A=50,Angle B=50,
Angle C=80
Find the value of Angle B in the given figure ABC .
We know that linear pair has a sum equal to 180 ,
Now since , Let the angle with 100 be x .
Solving for value of x . We get ,
= x + 100 = 180
= x = 180 - 100
= x = 80°
Now let angle b and a be equal .
If the value of a is y then b would be ,
= y + y = 100
= 2y = 100
= y = 50
Hence the angles of the traingle are 50 , 50 and 80 .
As stated by triangle angle sum property rule the sum of all angles of a triangle will always be equal to 180 degree .
Let's put these values in the formula a + b + c = 180 ,
= 50 + 50 + 80 = 180
= 100 + 80 = 180
= 180 = 180
LHS = RHS
Therefore proved .
What is a traingle ?
Answer : A triangle is a closed two dimensional figure made up of three line segments also known as a polygon .
How many vertices , sides and angles does a triangle have ?
Answer : A triangle has three vertices , three sides and three angles .
What are the types of triangles on the basis of sides ?
Answer : On the basis of sides triangles can be divided into three category that is equilateral triangle , isosceles triangle and scalene triangle .
Equilateral triangle : A triangle with all three sides equal is known as equilateral triangle .
Isosceles triangle : A triangle with two sides equal is known as isosceles triangle .
Scalene triangle : A triangle with all sides of different measures is known as scalene triangle .
What are the types of triangle on the basis of angles ?
Answer : On the basis of angles triangles are of three types :- Acute angled triangle , obtuse angle triangle and right angle triangle .
Note : An acute triangle has all interior angles less than 90 degree and obtuse angle triangle has all angles greater than 90 degree and a right angle triangle has one angle is equal to 90 degree .
Mention some properties of triangles .
- A triangle has all angles sum is equal to 180 degree .
- The sum of exterior angle of any triangle is equal to the sum of two opposite interior angle .
- The sum of lengths of two sides of a triangle is always greater than the third side .