Applying the angles on a straight line theorem, the equation that can be used to find the value of x is: x° + (x + 11)° + 62° = 180°
<h3>What is the Vertical Angles and Angles on a Straight Line Theorem?</h3>
According to the vertical angles theorem, the angle that is directly vertically opposite to angle measure of 62 degrees is also equal to 62 degrees.
Thus, this means that x°, (x + 11)°, and 62° will form angles on a straight line. Therefore, based on the angles on a straight line theorem, the equation that would be used to find the value of x in the diagram is:
x° + (x + 11)° + 62° = 180°
Let's solve for x
x + x + 11 + 62 = 180
2x + 73 = 180
Subtract 73 from both sides
2x = 180 - 73
2x = 107
Divide both sides by 2
2x/2 = 107/2
x = 53.5
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