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11. If 21=53', 22 = 65° and 23 = 43°, find the measures of Zx and Zy. Justifyyour answer.32

Answer»

angle Y is 47 and X is 59

y+3+90° =180° 3 = 43° so y = 180°-90°-43°= 47°x = 180°-53°+68°=59

angle Y=41 and angle X=59

Given,angle 1=53°,, ,,. 2=65°,,. ,,. 3=43°A/C,triangle's interior angles property,y=180° - (90°+43°)y=47°A/C,exterior angles property of a triangle-angle[x+1]=angle[y+2] x+53°=47°+65° x =112°-53° x =59°so, x=59°, y=47°.

y+390°=180°3=43°soy=180°-90°-43°=47°x=180°-(53°+68°)=59°

43+ y +90 =180 y=180-133=47and 53+x+180-112=180x=59then x=59 y=47

angle x=62angley=47

x= 59y= 68


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