whitecharity53
Answered

Westonci.ca offers quick and accurate answers to your questions. Join our community and get the insights you need today. Experience the ease of finding accurate answers to your questions from a knowledgeable community of professionals. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

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 :

mhanifa

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°
kwang001

[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]

We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.