# Angle Relationships: Question Preview (ID: 3575)

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**Congruent Angles**

a) Two angles that have the same measure

b) Two rays extending from a common endpoint

c) To cut in half

d) Same size, not same shape

**Alternate Exterior Angles**

a) Pairs of angles between 2 lines intersected by a transversal, but on opposite sides of transversal

b) The non-adjacent angles formed by the intersection of two lines

c) Pairs of angles on the outer sides of 2 lines intersected by a transversal, but on opposite sides of transversal

d) Formed by two angles, the sum of whose measures is 180 degrees

**Supplementary Angles**

a) Formed by two angles, the sum of whose measures is 90 degrees

b) Two angles that have the same measure

c) The non-adjacent angles formed by the intersection of two lines

d) Formed by two angles, the sum of whose measures is 180 degrees

**Complementary Angles**

a) Formed by two angles, the sum of whose measures is 90 degrees

b) Formed by two angles, the sum of whose measures is 180 degrees

c) An angle formed by one side of a polygon and the extension of the adjacent side

d) Any pair of angles with the same position, in the cluster of 4 angles formed by a transversal cutting a line

**Corresponding Angles**

a) The non-adjacent angles formed by the intersection of two lines

b) Any pair of angles with the same position, in the cluster of 4 angles formed by a transversal cutting a line

c) An angle formed by one side of a polygon and the extension of the adjacent side

d) To cut in half

**Vertical Angles**

a) To cut in half

b) An angle formed by one side of a polygon and the extension of the adjacent side

c) Same shape

d) The non-adjacent angles formed by the intersection of two lines

**Alternate Interior Angles**

a) Pairs of angles on the outer sides of 2 lines intersected by a transversal, but on opposite sides of transversal

b) Same shape

c) Pairs of angles between 2 lines intersected by a transversal, but on opposite sides of transversal

d) Any pair of angles with the same position, in the cluster of 4 angles formed by a transversal cutting a line

**Transversal**

a) A line that intersects a system of other lines

b) Two lines, segments, or rays that intersect to form right angles

c) Part of a line between two defined and points

d) To cut in half; To divide into two equal parts

**Angles J and K are vertical angles. The measure of J is (6x-45) and the measure of K is (4x+25). Find the measure of each angle.**

a) J= 90 degrees; K= 90 degrees

b) J= 135 degrees; K= 45 degrees

c) J= 45 degrees; K= 45 degrees

d) J= 165 degrees; K= 165 degrees

**Angles 1 and 2 are complementary angles. If angle 1 = (3x+26) and angle 2 = x, find each angle by writing and solving and equation.**

a) Angle 1= 74 degrees; Angle 2= 106 degrees

b) Angle 1= 74 degrees; Angle 2= 16 degrees

c) Angle 1= 90 degrees; Angle 2= 90 degrees

d) Angle 1= 115 degrees; Angle 2= 65 degrees

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