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Answer :
In the figure, the measure of angle x is 46 degrees
How to find angle x
To find angle x we use exterior angle theorem.
The Exterior Angle Theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of its two remote interior angles.
Using this theorem we have the formula
(2x) + (x + 2) = 140
collecting like terms
2x + x = 140 - 2
3x = 138
Isolating x by dividing by 3
3x/3 = 138/3
x = 46 degrees.
In the figure, applying the exterior angle theorem helped us to find the value of x to be 46 degrees.
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