what are the measure of third triangle if two of the angle of a triangle are 30 degrees 40 degrees
Answers
Given data : The two angles of a triangle are 30° and 40° respectively.
To find : The measure of third angle of a triangle.
Solution : We don't know the measure of the third angle of a triangle. So, let's say the third angle of a triangle be 'a'.
We know that,
The total measure of the three angles of a triangle is 180°. This property is called the angle sum property of a triangle.
→ 30 + 40 + a = 180
→ 70 + a = 180
→ a = 180 - 70
→ a = 110
Answer : The third angle of a triangle is 110°.
Additional information :
A triangle is a three-sided polygon that consists of three edges and three vertices.
The most important property of a triangle is that the sum of the internal angles of a triangle is equal to 180 degrees. This is known as the angle sum property of a triangle.
The sum of the length of any two sides of a triangle is greater than the length of the third side.
There are three types of triangle, Scalene Triangle, Isosceles Triangle, Equilateral Triangle.
The area of a triangle is equal to the half of the product of the breadth and height of a triangle. i.e. 1/2 * b * h.
The perimeter of a triangle is equal to the sum of all sides.
Answer:
110 Degree
Step-by-step explanation:
According to the information provided in the question it is given as
Angle a =30 degrees
Angle b =40 degrees
We need to find the third angle of triangle
According to the Triangle Angle Sum Theorem, the sum of the three Interior angles in a triangle is always 180°. We can this as: ∠a + ∠b + ∠c = 180°
Total = angle a + angle b + angle c
BY substituting the values we get the answer
180= 30 +40+ angle c
180= 70 + angle c
Angle c = 180 - 70
Angle c = 110
So the third angle is = 110 Degree