Question

the angles of a quadrilateral are x minus 20 degree X + 30 degree x minus 10 degree and 2x degree find the measure of the greatest angle​

Answer 1

sum of all angles of quadrilateral = 360

now x-20 + x + 30 + x -10 + 2x = 360

so x= 72

measure of greatest angle = 2x =2×72 =144

Answer 2

The measure of the greatest angle​ is 144°

Step-by-step explanation:

Angle of quadrilateral are (x-20) , (x+30),(x-10) and 2x

The sum of all angles of quadrilateral must be 360°

So,$x-20+x+30+x-10+2x=360$

5x=360

x=72

So, Angle 1 = x-20= 72-20 = 52°

Angle 2 = x+30=72+30=102°

Angle 3 = x-10=72-10 = 62°

Angle 4 = 2x=2(72)=144°

Hence the measure of the greatest angle​ is 144°

#Learn more :

In a quadrilateral , the angles are x degrees , x+ 10 degrees , x + 20 degrees, x + 30 degrees . find the angles

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