omkarvaddi
omkarvaddi omkarvaddi
  • 28-05-2019
  • Mathematics
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Find the value of x in each case. Give reasons to justify your solutions!

Find the value of x in each case Give reasons to justify your solutions class=

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sqdancefan
sqdancefan sqdancefan
  • 28-05-2019

Answer:

  x = 11°

Step-by-step explanation:

The parallel lines suggest we look to the relationships involving angles and transversals. The angle marked 33° and ∠CAB are alternate interior angles, hence congruent:

  ∠CAB = 33°

5x is the measure of the external angle opposite that internal angle and angle 2x of ΔABC, so it is equal to their sum:

  5x = 2x + 33°

  3x = 33° . . . . . . . . . subtract 2x

  x = 11° . . . . . . . . . . . divide by 3

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