In a triangle one of the exterior angle is 105". One of the interior opposite angle is 75
Find the measure of all the angles of the triangle
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Answered by
19
Answer:
1st angle:30*
2nd angle:75*
(by straight angle 180*)
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41
Given :
- In a triangle one of the exterior angle is 105". One of the interior opposite angle is 75
To find :
- Find the measure of all the angles of the triangle
Solution :
∠ACD = ∠A + ∠B (Exterior angle of triangle)
105° = ∠A + 75°
105° - 75° = ∠A
∠A = 30°
hence ∠A = 30°
sum of angel of triangle is 180°
∠A + ∠B + ∠C = 180°
75° + 30° + ∠C = 180°
105° + ∠C = 180°
∠C = 180° + 105°
∠C = 75°
- ∠A = 30°
- ∠B = 75°
- ∠C = 75°
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