the sum of two angles of a triangle is 150 degree find the third angle of the triangle
Answers
Answer:
3rd angle = 180 - 150 =
3rd angle = 30 degree....
Concept:
Properties of a triangle:
Three sides and three angles make up a triangle.
A triangle's sum angles are always 180 degrees.
A triangle's exterior angles are always a sum of 360 degrees.
The sum of the parallel interior and exterior angles is supplementary.
Any two sides of a triangle can be added together to have a length larger than the third side. Similar to this, any two triangle sides have length differences between them that are smaller than the length of the third side.
Always, the shortest side faces the smallest interior angle. Similar to this, the biggest interior angle is always opposite the longest side.
Given:
The sum of two angles of a triangle is 150°
Find:
Find the third angle of the triangle
Solution:
Using triangle sum property,
Sum of all the angles ina triangle is 180°
a+b=150°
As per question,
a+b+c=180°
⇒150°+c=180°
⇒c=30°
Therefore the third angle is 30°
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