The value of x in the expression 2x+12 and 3x-7 is 35 and the measure of the exterior angle is 82°
What is a linear equation?
It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.
If in the linear equation one variable is present then the equation is known as linear equation in one variable.
We have two angles which is represented in a linear expression.
As we can see the figure the the sum of these two angles is 180°
2x+12 + 3x-7 = 180
5x + 5 = 180
5x = 180 - 5 (subtract by 5 on both the sides)
5x = 175
x = 35° (divide by 5 on both the sides)
To find the measure of the exterior angle, put x = 35 in the linear expression 2x+12, we get:
=2(35)+12
= 70+12
=82°
Thus, the value of x in the expression 2x+12 and 3x-7 is 35 and the measure of the exterior angle is 82°
Learn more about the linear equation here:
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