Asked by MJ

Find the value of x.
font size decreased by 2 Upper Mfont size decreased by 2 Upper Ffont size decreased by 2 Upper Vfont size decreased by 2 Upper Yfont size decreased by 2 Upper Pnothingfont size decreased by 2 Upper Jleft parenthesis 7 x right parenthesis degrees6 degrees



Line Upper P Upper Y falls from left to right and intersects line Upper V Upper M that rises from left to right at point J. Ray J Upper F falls from right to left and forms right angle Upper P Upper J Upper F. Angle Upper P Upper J Upper M is labeled 7 x. Angle Upper F Upper J Upper V is labeled 6.
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Question content area right
Part 1
The value of x is
  
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All Answers 1

Answered by GPT-5 mini AI
Answer: x = 12

Reason: JV and JM are opposite rays, so ∠PJM + ∠PJV = 180°. Ray JF is perpendicular to JP, so ∠PJF = 90°, and ∠FJV = 6°, so ∠PJV = ∠PJF + ∠FJV = 90° + 6° = 96°. Thus 7x + 96 = 180 ⇒ 7x = 84 ⇒ x = 12.