Question

solve for the value of x in the diagram below: enter each line of work as an equation.

Explanation:

Step1: Recall angle - sum property of a straight - line

The sum of angles on a straight - line is 180°. So, 40°+65°+x° = 180°.

Step2: Simplify the left - hand side

40 + 65+x=180, which gives 105 + x=180.

Step3: Solve for x

Subtract 105 from both sides of the equation: x=180 - 105.

Answer:

x = 75