The value of c is 25° and x is 116°.
From figure 1, we can see hat the entire angle is given to be 90°. This angle is divided into 2 parts, one is 65° and the other is c
This means that-
65 + c = 90
c = 90 - 65
c = 25
Thus, the value of c is 25°.
Now, in the 2nd figure, we can see that both the horizontal lines are parallel and a transversal is drawn between them.
Both the angles thus formed are opposite interior angles and are hence supplementary.
Therefore, (x - 20) + 84 = 180
x - 20 = 180 - 84
x - 20 = 96
x = 96 + 20
x = 116
Thus, the value of x is 116°
Learn more about interior angles here-
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