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One angle of a triangle has a measure of 66 degrees. The measure of the third angle is 57 degrees more than 1/2 the measure of the second angle. The sum of the angle measures of a triangle is 180 degrees. What is the Measure of the second angle? What is the measure of the third angle?

Respuesta :

mhanifa

Answer:

76 degrees

Step-by-step explanation:

Let the angles be x, y and z

As per given:

  • x= 66
  • z = 57 + 1/2y
  • x+y+z = 180

Considering the first 2 equations in the third one:

  • 66 + y + 57 + 1/2y = 180
  • 1.5y = 180 - (66+57)
  • 1.5y = 57
  • y = 57/1.5
  • y = 38

So the third angle is:

  • z = 57 + 38/2 = 76 degrees

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