One of the angles formed at the intersection of two straight lines AB and CB at point M is 106 degrees. Find the rest of the angles.
1) What is the degree measure of the angle adjacent to the angle, the degree measure of which is 106?
180 – 106 = 74.
2) What is the degree measure of the remaining angles?
Since when two straight lines AB and CD intersect at point M, two pairs of vertical angles are formed, and as you know, the vertical angles are equal, then the degree measures of the remaining angles will be equal to 74 and 106.
Answer: the degree measures of the required angles are 106, 74 and 74.
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