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Find the angle CÔD if AC and BD are straight lines and angle AÔB is 47o.

Question

Find the angle CÔD if AC and BD are straight lines and angle AÔB is 47o.

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Solution

To find the angle CÔD, we need to understand that the straight lines AC and BD form a linear pair with the angle AÔB.

A linear pair of angles is a pair of adjacent angles formed when two lines intersect. The measure of a straight angle is 180 degrees, so in a linear pair, the measures of the two angles add up to 180 degrees.

Given that the measure of angle AÔB is 47 degrees, the measure of angle CÔD (which forms a linear pair with AÔB) would be calculated as follows:

Step 1: Subtract the measure of angle AÔB from 180 degrees. Step 2: 180 degrees - 47 degrees = 133 degrees.

So, the measure of angle CÔD is 133 degrees.

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