The angles shown on the picture are called vertical angles. Vertical angles refer to two congruent angles formed by the intersection of two straight lines.
On this question is given two vertical angles, and it is asked to find the value of x. As said before, vertical angles are congruent or in other words they have the same measure. To find the value of x you should put both of the expressions as an equation and then solve it for x.
3x+50=6x-10 Add ten in both sides 3x+60=6x Subtract 3x in both sides 60=3x Divide in both sides by 3 to isolate x 20=x
The value of x is 20 and the measure of each angle is 110 degrees.
The sum of the interior angles of a hexagon is equal to sum of six consecutive numbers. Hence let the smallest consecutive number be x. Then other five numbers are x+1, x+2, x+3,x+4 and x+5. Hence the measure of the smallest angle is 117.5 cm.
