Question

Find the value of x.

Answer 1

Hey there!!

• Remember that the value of the exterior angle is equal to the sum of the opposite interior angles.

Hence,

... 2x-11+2x+27=100

... 4x+16=100

... 4x=100-16

... 4x=84

... x=84/4

...x=21

Hence, the value of x' is 21.

Hope it helps!

Answer 2

Because 100 degrees is on the outside, that means the angle adjacent to it is 80 degrees. There are 180 degrees in a triangle, so that leaves 100 degrees left for the remaining angles.

(2x+11) + (2x+27) = 100

Combine like terms

4x + 16 = 100

Subtract 16 from 100.

4x = 84.

Divide.

84/4 = 21.

Therefore, x = 21.