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find the value of X. then find the measure of angles B and C ​

Find The Value Of X Then Find The Measure Of Angles B And C class=

Sagot :

Mhanifaidn

Answer:

  • x = 20, m∠B = 92°, m∠C = 40°

Step-by-step explanation:

Sum of the angles of any triangle is 180°:

  • m∠A + m∠B + m∠C = 180°

Substitute the given values and solve for x:

  • 48 + 6x - 28 + 2x = 180
  • 8x + 20 = 180
  • 8x = 160
  • x = 20

Find the missing angles:

  • m∠B = 6*20 - 28 = 120 - 28 = 92°
  • m∠C = 2*20 = 40°
Kwang001idn

[Sum of the angles of any triangle is 180°]

↦m∠A + m∠B + m∠C = 180°

The given values and solve for x :

[tex]↦48 + 6x - 28 + 2x = 180°[/tex]

[tex]↦8x + 20 = 180°[/tex]

[tex]↦8x = 160°[/tex]

[tex]↦x = 20°[/tex]

Lets , Find the missing angles:

[tex]↦ m∠B = 6×20 -28 = 120-28 = 92°[/tex]

[tex]↦ m∠C = 2×20 = 40°[/tex]

Answer :- [tex]\small\bold\red{x = 20°, m∠B = 92°, m∠C = 40°}[/tex]

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