please help me i need a urgent help please solve this problem please answere me and please answere me on a page
Answers
Required Answer :
- first Angle of triangle = 52°
- Second Angle of triangle = 78°
- Third Angle of triangle = 50°
Given :
- one Exterior angles of triangle = 130°
- interior two opposite angles are in ratio = 2:3
To find :
- All Angels of given triangle.
Some property of triangle will be used in this question are :---
☞ One property of triangle is - Sum of two interior angle of triangle is equal to Measure of one exterior angle.]
☞ One property of triangle is that- Sum of interior angle of triangle is always 180°
Explanation :
- let suppose that two Given interior angle of triangle are => 2x and 3x
- And, third interior angles = y
Hence,
According to the property of triangle which is given above , we can make a equation as :-
- 2x + 3x = 130° ------ ( 1st given property)
=> 5x = 130°
=> x = 130/5
=> x = 26°
Now, we have the value of x.
so, putting the value of x in 2x and 3x.
- 2x
=> 2 × 26°
=> 52°
- 3x
=> 3× 26
=> 78°
So, by this Explanation, we found that two angles of triangle = 52° and 78°
Now,
FINDING THIRD ANGLE :-
By using second Given property of triangle, We have =>
52° + 78° + y = 180°
=> 130° + y = 180°
=> y = 180° - 130°
=> y = 50°
So, third angle of triangle is = 50°
Hence, By this Explanation we found three angles of triangle as ===>
- 52°
- 78°
- 50°