The drawing shows a cross section of a saw blade which has teeth whose edges are parallel to each other.If angle B is 210, calculate the size of angle C.
Question
The drawing shows a cross section of a saw blade which has teeth whose edges are parallel to each other.
If angle B is 210°, calculate the size of angle C.
Solution
To solve this problem, we need to understand that the sum of the angles in a straight line is 180 degrees.
Given that angle B is 210 degrees, which is more than 180 degrees, it means that angle B actually represents two angles - one part of the saw tooth and one part of the straight line.
To find the size of the angle on the straight line, we subtract 180 from 210.
210 - 180 = 30 degrees.
Therefore, the size of angle C, which is supplementary to the angle we just found, is 180 - 30 = 150 degrees.
So, angle C is 150 degrees.
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