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First try was incorrect
Find the measure of each angle.
label optional

m/_WXY=47
label optional

m/_WYX=91

First try was incorrect\newlineFind the measure of each angle.\newlinelabel optional\newlinemWXY=47 \mathrm{m} \angle \mathrm{WXY}=47 \newlinelabel optional\newlinemWYX=91 \mathrm{m} \angle \mathrm{WYX}=91

Full solution

Q. First try was incorrect\newlineFind the measure of each angle.\newlinelabel optional\newlinemWXY=47 \mathrm{m} \angle \mathrm{WXY}=47 \newlinelabel optional\newlinemWYX=91 \mathrm{m} \angle \mathrm{WYX}=91
  1. Triangle Angle Sum: We know that the sum of angles in a triangle is 180180 degrees.
  2. Given Angles: We have m/WXY=47m/_{WXY} = 47^\circ and m/WYX=91m/_{WYX} = 91^\circ.
  3. Add Angles: Add the measures of the two given angles: 47+91=13847 + 91 = 138 degrees.
  4. Find Third Angle: Subtract the sum of the known angles from 180180 degrees to find the third angle: 180138=42180 - 138 = 42 degrees.

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