Question

Find the relationship used and solve for the variable

Answer 1

Supplementary angles, x = 55

Explanation:

Supplementary angles: straight line means both angles add up to 180, this if the outside angle is 110 then the inside angle is 180° - 110° = 70°

Since it is an isosceles triangle, it means both angles are equal to x therefore

`180 - 70 = 2x\\110 = 2x\\(110)/(2) = x\\x = 55`

Answer 2

55°

Explanation:

For the line including the 110°, the angle of the supplementary angle is 70° which is the 'non-equivalent' length of the isosceles triangle. Then do:

(180°-70°)/2 = 55° to get x