Q12.The angles of a quadrilateral are x°, (x + 20)°, (x + 40)° and (x + 60)°. Find the measure of its largest angle.
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Answer:
x°+ (x+20) °+ (x+40) °+ (x+60) °= 360°
x°+x°+x°+x°+20°+40°+60°= 360°
4x°+ 120°= 360°
4x°= (360-120)°
4x°= 240°
x°= 240°/4
x°= 60°
Here, the largest angle is (x+60)°
Measure= (x+60) °
= (60+60) °
= 120°
Hence the measure of the largest angle in the quadrilateral is 120°
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Answer:
x=71.75
Step-by-step explanation:
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