Question

If the angles of a quadrilateral are (x-15 degree);x degree,(x+20 degree) and (2x+5 degree),find the smallest angle of quadrilateral.

Answer 1

Answer:

55

Step-by-step explanation:

Sum of angles in quadrilateral is 360

so,

$(x-15)+x+(x+20)+(2x+5)=360\\5x+10=360\\5x= 360-10\\x=\frac{350}{5} \\x=70^o$

The smallest angle is $x-15 =70-15 =55^o$