. If the angles of the quadrilateral are (x-15)o , xo , (x+20)o and (2x+5)o , then find the greatest angle of the quadrilateral.
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Answer:
145°
Step-by-step explanation:
sum of the angles of a quadrilateral is = 360°
then,
(x-15)+x+(x+20)+(2x+5) = 360
5x+10=360
5x=350
x= 70
then the angles are
x-15= 70-15= 55°
x=70°
x+20= 70+20= 90°
2x+5= 2*70+5= 145°
then the greatest angle is 145°
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