Math, asked by akshanshbadholia8, 3 months ago

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 bagkakali
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 Blossomfairy
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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