the four angles of a quadrilateral are (x°+50°) , (3x°-30°),(x°/2+70°) and (2x° +10° ) what type of a quadrilateral is it
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Answer:
Square or Rectangle
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Answer:
The some interior angles of a quadrilateral is 360°.
The angles are=
(x°+50°)+ (3x°-30°)+(x°/2+70°)+(2x°+10°)=360°
x°+3x°+x°\2+2x=360°+-(50°-30°+70°+10°)
2x/2+6x/2+x/2+4x/2= 360°-100°
13x = 2(260°)
x= 520°/4
x=40° .
angles are =
*(x+50°)=(40°+50°)= 90°
*(3x-30°)=(120°-30°)= 90°
*(x°/2+70°)= (20°+70°)= 90°
*(2x°+10°)= (80°+10°)= 90°
Thus all angles of the quadrilateral are 90° . So the quadrilateral may be a square or a rectangle.
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