1. The values of x on the straight line is 28.
2. The value of x in the triangle is 12.
How to find the measures of angles?
Angles on a straight line relate to the sum of angles that can be arranged together so that they form a straight line.
The measure of angles on a straight line is 180 degrees.
Therefore,
65 + 4x + 3 = 180
65 + 3 + 4x = 180
68 + 4x = 180
4x = 180 - 68
4x = 112
divide both sides by 4
x = 112 / 4
x = 28
The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.
Hence,
128 = 3x - 2 + 7x + 10
128 = 10x + 8
128 - 8 = 10x
120 = 10x
x = 120 / 10
x = 12
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