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# 1)Lines PTQ and PUR are tangent to a circle, as shown below. If angle QTA = 41 degrees and angle RUA = 63 degrees, then find angle

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1)Lines PTQ and PUR are tangent to a circle, as shown below. If angle QTA = 41 degrees and angle RUA = 63 degrees, then find angle QPR, in degrees.

Image -https://latex.artofproblemsolving.com/c/c/1/cc16b62c53fd72035896c4f0760d814431cc0883.png

2) In rectangle EFGH, EH = 3 and EF = 4. Let M be the midpoint of EF, and let X be a point such that MH = MX and angle MHX = degrees. as shown below. Find angle XGH, in degrees.
Image~ https://latex.artofproblemsolving.com/7/e/9/7e94926930b2c8fb022fe9a340b8ee65178067a6.png

3) In triangle ABC, M is the midpoint of AB. Let D be the point on BC such that AD bisects angle BAC, and let the perpendicular bisector of AB intersect AD at E. If AB = 44 and ME = 12, then find the distance from E to line AC.

Apr 8, 2020

#1
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The first question has been answered here.

Hope it helps!

Apr 8, 2020
#2
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Yes, thank you

Puplove  Apr 8, 2020
#3
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2. Angle GXH = 12 degrees

3. The distance from E to line AC is 14.

Apr 10, 2020