Final answer:
To find the value of x, set the two given angles equal to each other and solve for x.
Step-by-step explanation:
The sum of the measures of angles in a straight line is 180 degrees. Therefore, for angles
a and b, we have:
m∠a+m∠b=180∘
Substitute the given expressions:
(4x−2)+(6x−20)=180
Combine like terms:
10x−22=180
Add 22 to both sides:
10x=202
Divide by 10:
x=20.2
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