Statement Reason
1. m<AOB = 180 degrees Angle on a straight line
2. m<AOE + m<EOF + m<FOB = m<AOB supplementary angles
3. x + 2x + 34° + 20° = 180 degrees Substitution
4. x = 42 degrees Algebra
How to solve for the missing angle x
x + 2x + 34° + 20° = 180 degrees - supplementary angles
3x + 54 = 180
3x = 180 - 54
3x = 126
x = 126 / 3
x = 42 degrees
What is angle on a straight line?
This refers to angle formed by a straight line which is equal to 180 degrees.
What are supplementary angles?
This refers to angles whose sum is equal to 180 degrees. Sum of angles on a point on a straight line is equal to 180 degrees
Read more on angles here: https://brainly.com/question/25716982
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