The second angle of a triangle is twice as large as the first. The third angle is 50° less than the second. Find the measures of angles.
Answers
Given:- The second angle of a triangle is twice as large as the first. The third angle is 50° less than the second.
To Find:- The measures of the angles .
Answer:- Let us take the first angle be x . Then the second angle be 2x . So , the third angle will be 2x-50° . We know that the angle sum property of a triangle is 180° .
⇒ x + 2x + 2x - 50° = 180° .
⇒ 5x - 50° = 180° .
⇒ 5x = 180° + 50°
⇒ 5x = 230°
⇒ x = 230°/5
⇒ x = 46° .
Hence ,
- 1st angle = x = 46°
- 2nd angle = 2x = 92°
- 3rd angle = 2x-50°=42°
★ Hence the angles are 46° , 92° & 42°.
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