# Lesson Worksheet: Vertically Opposite Angles Mathematics • 7th Grade

In this worksheet, we will practice investigating the relationship between angles in intersecting lines and finding the measure of unknown angles.

Q1:

If two angles are vertically opposite, are they equal in measure?

• AYes
• BNo

Q2:

Given that lines and intersect at , find . Q3:

In the figure, lines and intersect at . What is ? Q4:

Find the value of . Q5:

In the given diagram, and . Find the value of . • A
• B
• C
• D
• E

Q6:

Knowing that , , , and , find . Q7:

Two intersecting straight lines are shown. Find the values of and . • A,
• B,
• C,
• D,
• E,

Q8:

If and are vertical angles, where and , find and .

• A,
• B,
• C,
• D,
• E,

Q9:

In the figure, , , , and . Find the values of and . • A,
• B,
• C,
• D,
• E,

Q10:

In the given diagram, = . Find . Q11:

Calculate . Q12:

What is in the following figure? Q13:

Find the value of . Q14:

Find the value of in the given diagram. Q15:

Lines and meet at . Determine the value of . Q16:

In the figure rays and meet at , and . What is ? Q17:

In the given figure, if and , find . Q18:

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.

Q19:

What is the sum of the measures of the two adjacent angles formed by a straight line and a ray?

Q20:

Which of these is the supplement of an acute angle?

• Aright angle
• Bacute angle
• Creflex angle
• Dobtuse angle

Q21:

If , then and are .

• Asupplementary
• Ccomplementary
• Dequal in measure

Q22:

Two angles are supplementary and one of them is a. What is the other?

Q23:

In the given diagram, is a right angle and . Work out . Q24:

Find , , and . • A, ,
• B, ,
• C, ,
• D, ,

Q25:

In the given diagram, is a straight line. Answer the following questions. Form an equation that will allow you to calculate .

• A
• B
• C
• D
• E

Find the value of .

• A
• B
• C
• D
• E