#1
What is the relationship between corresponding angles in parallel lines?
They are equal
ExplanationCorresponding angles are congruent when formed by a transversal intersecting two parallel lines.
#2
In a triangle, the sum of interior angles is equal to:
180 degrees
ExplanationThe sum of the interior angles of a triangle is a constant, totaling 180 degrees.
#3
What is the relationship between vertical angles?
They are equal
ExplanationVertical angles are congruent; they share the same vertex and are formed by intersecting lines.
#4
In a parallelogram, opposite angles are:
Equal
ExplanationOpposite angles in a parallelogram are congruent, having equal measures.
#5
What is the sum of the measures of the interior angles of a pentagon?
540 degrees
ExplanationThe sum of the interior angles of a polygon with n sides can be calculated using the formula (n-2) * 180. For a pentagon, it's (5-2) * 180 = 540 degrees.
#6
What is the relationship between alternate interior angles when two parallel lines are intersected by a transversal?
They are equal
ExplanationAlternate interior angles are congruent when formed by a transversal intersecting two parallel lines.
#7
If two angles form a linear pair, what is their sum?
180 degrees
ExplanationLinear pair angles are supplementary, summing up to 180 degrees.
#8
What is the measure of each exterior angle of a regular hexagon?
60 degrees
ExplanationIn a regular polygon, each exterior angle measures 360 degrees divided by the number of sides, so for a hexagon, it's 360/6 = 60 degrees.
#9
In a quadrilateral, if one angle measures 120 degrees, what is the sum of the measures of the other three angles?
360 degrees
ExplanationThe sum of the interior angles of a quadrilateral is a constant, totaling 360 degrees.
#10
What is the relationship between corresponding angles when a transversal intersects two parallel lines?
They are equal
ExplanationCorresponding angles formed by a transversal intersecting two parallel lines are congruent.
#11
What is the measure of an angle whose supplement is twice its complement?
75 degrees
ExplanationLet the angle be x. Its supplement is 180 - x, and its complement is 90 - x. So, 180 - x = 2(90 - x), solving gives x = 75 degrees.
#12
What is the relationship between corresponding angles formed when a transversal intersects two parallel lines?
They are equal
ExplanationCorresponding angles formed by a transversal intersecting two parallel lines are congruent.
#13
What is the relationship between alternate exterior angles when two parallel lines are intersected by a transversal?
They are equal
ExplanationAlternate exterior angles formed by a transversal intersecting two parallel lines are congruent.
#14
What is the sum of the measures of the interior angles of a heptagon?
1080 degrees
ExplanationThe sum of the interior angles of a polygon with n sides can be calculated using the formula (n-2) * 180. For a heptagon, it's (7-2) * 180 = 1080 degrees.