Vertical Angles
What is a vertical angle?
Opposite angles formed by 2 intersecting lines
What is an adjacent angle?
A pair of angles that share a vertex and one side but don't overlap
What is a complementary angle?
Two angles whose measures have a sum of 90 degrees.
What is a supplementary angle?
Are vertical angles always congruent?
Yes
Are adjacent angles always 90 degrees?
No
Are complementary angles never congruent?
No, the angles could both have a measure of 45 degrees therefore creating a complementary angle
Will two right angles make a supplementary angle?
Yes, 90 plus 90 equals 180
What must vertical angles have?
They must be congruent and have the same measure.
Are adjacent angles always acute?
No, adjacent angles can be acute, obtuse, or right.
Can a complementary angle be comprised of an acute angle and an obtuse angle?
No, an obtuse angle is greater than 90 degrees so it would not make a complementary angle.
Which combination will make a supplementary angle?
167 and 23 or 109 and 71
109 and 71
Can vertical angles be complementary?
Vertical angles have equal measures. Therefore, if vertical angles measure 45 degrees each, they are complementary.
Can adjacent angles be congruent?
Yes, for example, the two angles could both be 45 degrees.
Can a complementary angle be congruent if the angles do not equal 45 degrees?
No, 45 and 45 is the only combination to make 90.
Can two obtuse angles be supplementary?
No, an obtuse angle is greater than 90 degrees. If you add two obtuse angles you will get an angle greater than 180 degrees.
Can vertical angles be right angles?
Yes, then there will be two right angles, therefore, creating supplementary angles.
What do adjacent angles share?
A side and a vertex.
If angle a is 2 times greater than angle b and they create a complementary angle what is angle a and b equal to?
Angle A: 60 Angle B: 30
What is the angle combination that will lead to a congruent supplementary angle?
90 degrees and 90 degrees.