Question

If the degree measures of the angles of quadrilateral are 4x, ZX, 9x
and 10x, what is the sum of the measures of the smallest angle and largest
angle?​

Answer 1

Answer:

the sum of largest and smallest angle is 168 degrees

Step-by-step explanation:

as the measure of angles are=4x,7x,9,and 10x

now, sum of angle of a quadrilateral =360 degree

so, 4x+7x+9x+10x=360

30x=360

x=360/30=12

measures of angles,

4x=4*12=48 degree

7x=7*12=84 degree

9x=9*12=108 degree

10x=10*12=120 degree

now, smallest angle =48 degree

and, largest angle = 120 degree

their sum=120+48=168 degree

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