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Define adjacent angles and complementary angles.
Adjacent angles share a common vertex and a common side but do not overlap. Complementary angles are two angles whose sum is 90 degrees.
Distinguish between complementary and supplementary angles.
Complementary angles sum to 90 degrees, while supplementary angles sum to 180 degrees. Both terms describe the relationship between two angles based on their combined measure.
What is the name given to a pair of angles that are formed when a transversal intersects two parallel lines, and they are on the same side of the transversal and in corresponding positions?
This pair of angles is known as corresponding angles. They are equal when the lines intersected by the transversal are parallel.
How does an angle of 125 degrees relate to its supplement?
An angle of 125 degrees has a supplement of 55 degrees, because supplementary angles add up to 180 degrees (180 - 125 = 55).
If two lines PQ and RS intersect at T, and angle RTQ is 110 degrees, what are the measures of angle PTS and angle STQ?
Angle PTS would be 70 degrees because angles RTQ and PTS are vertically opposite angles, and angle STQ would be 110 degrees because angles RTQ and STQ are supplementary angles on a straight line.
What is an acute angle?
An acute angle is an angle that measures less than 90 degrees.
What is a straight angle?
A straight angle is an angle that measures exactly 180 degrees, forming a straight line.
MCQ-STYLE: Which is an accurate description of α and β if they are next to each other on a straight line?
C
MCQ-STYLE: Which statement is true about an angle of 125°?
C
MCQ-STYLE: What is the name given to the pair of angles that are on opposite sides of the transversal and between the two lines it intersects?
D