Worksheet: Vertically Opposite Angles
In this worksheet, we will practice investigating the relationship between angles in intersecting lines and finding the measure of unknown angles.
In the figure, lines and intersect at . What is ?
In the given diagram, and . Find the value of .
Knowing that , , , and , find .
If and are vertical angles, where and , find and .
In the figure, , , , and . Find the values of and .
In the given diagram, = . Find .
What is in the following figure?
Find the value of .
Lines and meet at . Determine the value of .
In the figure rays and meet at , and . What is ?
In the given figure, if and , find .
Which of the following statements is always true of vertically opposite angles?
- AVertically opposite angles sum to .
- BVertically opposite angles sum to .
- CVertically opposite angles are complementary.
- DVertically opposite angles are equal.
- EVertically opposite angles are supplementary.
What is the sum of the measures of the two adjacent angles formed by a straight line and a ray?
Which of these is the supplement of an acute angle?
- Aright angle
- Bacute angle
- Creflex angle
- Dobtuse angle
If , then and are .
- Dequal in measure
Two angles are supplementary and one of them is a. What is the other?
In the given diagram, is a right angle and . Work out .
Find , , and .
- A, ,
- B, ,
- C, ,
- D, ,