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Could I get some help with this? Thanks! Here’s the question to go along with it.

For each diagram, calculate the value of x. Show your work and include an explanation of what you used (definitions and theorems) to solve the problem. If not possible, state why.

Could I get some help with this Thanks Heres the question to go along with it For each diagram calculate the value of x Show your work and include an explanatio class=


Answer :

sqdancefan

Answer:

  x = 16 1/3°

Step-by-step explanation:

You have parallel lines with consecutive interior angles marked 7x-28° and 5x+12°, and you want to find the value of x.

Consecutive interior angles

At parallel lines, consecutive interior angles, or same-side interior angles, are supplementary. This means the total of the two marked angles is 180°.

  7x -28° +5x +12° = 180°

  12x -16° = 180° . . . . . . . . . . simplify

  12x = 196° . . . . . . . . . add 16°

  x = (49/3)° = 16 1/3° . . . . . . . divide by 12

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Additional comment

∠3 = 86 1/3°

∠5 = 93 2/3°

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