#1
Which of the following is a pair of complementary angles?
30 degrees and 60 degrees
ExplanationComplementary angles add up to 90 degrees.
#2
In a right-angled triangle, what is the measure of the largest angle?
90 degrees
ExplanationThe largest angle in a right-angled triangle is always 90 degrees.
#3
If the measure of an angle in a triangle is 60 degrees, what are the measures of the other two angles?
30 degrees, 30 degrees
ExplanationThe sum of angles in a triangle is always 180 degrees.
#4
What is the sum of the exterior angles in any polygon?
360 degrees
ExplanationThe sum of exterior angles in any polygon is 360 degrees.
#5
What is the sum of the interior angles in a hexagon?
360 degrees
ExplanationThe sum of interior angles in any hexagon is 360 degrees.
#6
If two lines are perpendicular, what is the measure of the angles formed at the point of intersection?
90 degrees
ExplanationPerpendicular lines form right angles (90 degrees) at their point of intersection.
#7
If the measure of an angle is 120 degrees, what is its supplement?
60 degrees
ExplanationThe supplement of an angle is 180 degrees minus the angle's measure.
#8
In a parallelogram, what is the sum of adjacent angles?
180 degrees
ExplanationAdjacent angles in a parallelogram add up to 180 degrees.
#9
If two angles are supplementary and one angle is 75 degrees, what is the measure of the other angle?
105 degrees
ExplanationSupplementary angles add up to 180 degrees.
#10
What is the measure of each interior angle in a regular hexagon?
135 degrees
ExplanationIn a regular hexagon, each interior angle is 120 degrees.
#11
If the measure of an angle is 40 degrees, what is its complementary angle?
60 degrees
ExplanationComplementary angles add up to 90 degrees.
#12
What is the sum of the measures of the angles in a convex octagon?
720 degrees
ExplanationThe sum of angles in a convex octagon is 720 degrees.
#13
What is the exterior angle of a regular pentagon?
72 degrees
ExplanationThe exterior angle of a regular pentagon is 72 degrees.
#14
If one angle in a triangle is obtuse, what can you conclude about the other two angles?
They are both acute
ExplanationIn a triangle, if one angle is obtuse, the other two angles are acute.
#15
What is the sum of the interior angles in a decagon?
1440 degrees
ExplanationThe sum of interior angles in any decagon is 1440 degrees.
#16
If two angles are supplementary and one angle is 40 degrees, what is the measure of the other angle?
140 degrees
ExplanationSupplementary angles add up to 180 degrees.
#17
In a trapezoid, what is the sum of the interior angles?
180 degrees
ExplanationThe sum of interior angles in a trapezoid is 180 degrees.
#18
If two angles are vertical angles, and one angle measures 75 degrees, what is the measure of the other angle?
105 degrees
ExplanationVertical angles are always equal.
#19
In a pentagon, if one interior angle measures 120 degrees, what is the measure of each exterior angle?
60 degrees
ExplanationThe exterior angle of a pentagon is supplementary to the interior angle and measures 60 degrees.
#20
If two angles are supplementary and one angle is 85 degrees, what is the measure of the other angle?
95 degrees
ExplanationSupplementary angles add up to 180 degrees.