Question

If m∠a=(4x−2)∘ and m∠b=(6x−20)∘, what is the value of x?

a) 9
b) 10
c) 11
d) 12

Answer 1

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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