Triangle

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On a plane figure when three lines  intersect each other at their last end is called a triangle. The end place where lines intersect to other lines, makes a corner. These corners makes an angle. In a triangle there are only three corners and three angles. The sum of all the three angles in a triangle is 180°. There are 3 types of triangles:

1) Acute angled triangle
All the angles in a acute angled triangle are <90°.
2) Right angled triangle
One of the angles in a right angled triangle is 90°
3) Obtuse angled triangle
One of the angles in an obtuse angled triangle is >90°
Example 1: Two angles of a triangle measures 59° and 85°. Find the remaining angle?
Answer: Sum of all the angles in a triangle is 180°.
59° + 85° + x = 180°
144° + x = 180°
x = 36°
Hence the third angle is 36°.
Example 2: The three angles of a triangle measure (3x) °, (4x – 8) °, (3x – 2) °. Find x and all the three angles.
Answer: 3x + 4x – 8 + 3x – 2 = 180
10x – 10 = 180
10x = 190
x = 19°
First angle = 3x = 3(19) = 57°
Second angle = 4x – 8
= 4(19) – 8
= 76 – 8
= 68°
Third angle = 3x – 2
= 3(19) – 2
= 57 – 2
= 55°

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