Web Analytics

Questions › Math

Math Asked by a SnapAndSolve user · about 2 hours ago

In ΔTUV, TV is extended through point V to point W, m∠TUV = (x + 16)°, m∠UVW = (8x − 3)°, and m∠VTU = (3x +...

In ΔTUV, TV is extended through point V to point W, m∠TUV = (x + 16)°, m∠UVW = (8x − 3)°, and m∠VTU = (3x + 9)°. What is the value of x?

Answer

In a triangle, the sum of the interior angles is 180°. Therefore, we can set up the equation:

  1. (x + 16) + (8x − 3) + (3x + 9) = 180
  2. Simplify the equation: 12x + 22 = 180
  3. Subtract 22 from both sides: 12x = 158
  4. Divide by 12: x = 13.1667

Therefore, the value of x is approximately 13.17.

Have a similar question?

Snap a photo of your homework and get a step-by-step answer in seconds. You can ask follow-up questions until it makes sense.

Solve my question free Math help Find a math tutor

More math questions