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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.

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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.

This problem has been solved

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