three angles of a triangle are 3x, x+10 and 4x-30. Find the smallest angle of the triangle. please answer it fast.
Answers
Answered by
10
Answer:
we know the sum of the three angles of a triangle is 180°
so,
3x+x+10+4x-30=180
=> 8x-20=180
=> 8x=180+20=200
=> x=200 /8=25
so the angles are 3.25°=75°
(25+10)°=35°
(4.25-30)°=(100-30)°=70°
smallest angle of the triangle is 35°
Answered by
41
Given :
- First angle of triangle 3x°
- Second angle of triangle (x + 10)°
- Third angle of triangle (4x - 30)°
To find :
- Smallest angle of triangle
According to the question,
As we know that,
Sum of all angles of a triangle is 180°
→ 3x + x + 10 + 4x - 30 = 180°
→ 8x - 20 = 180°
→ 8x = 180° + 20°
→ 8x = 200°
→ x = 200° ÷ 8
→ x = 25°
★ Value of 3x :
→ 3x
→ 3(25°)
→ 75°
★ Value of x + 10 :
→ x + 10
→ 25° + 10°
→ 35°
★ Value of 4x - 30 :
→ 4x - 30
→ 4(25°) - 30
→ 100° - 30°
→ 70°
So, the smallest angle is 35°.
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