Finding the value of c from the figure gives x to be = 23 degrees, and the two angles are gotten to be 2x = 46 degrees while5x + 21 = 136 degrees
what is angle?
Angle in mathematics is the formed when two lines meet. Angles are important in geometry as it helps in saying the amount of deviation between two lines.
The problem given is solved with the concept of angle in a straight line and sum of angle in a straight line. In both cases, the value is 180 degrees
From the figure
angle on a straight line
say angle y
y + 5x + 21 = 180 ( angle on a straight line )
90 + 2x + y = 180 ( angle on a straight line )
equating both since they are equal
y +5x + 21 = 90 + 2x + y
y - y +5x + 21 = 90 + 2x
5x + 21 = 90 + 2x
5x - 2x = 90 - 21
3x = 69
dividing both sides by 3 gives:
x = 23
angle 2x
substituting the value of x gives:
2 * 23 = 46 degrees
angle 5x + 21
substituting the value of x gives:
5 * 23 + 21
115 + 21 = 136 degrees
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