# Worksheet: Vertically Opposite Angles

Q1:

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

• Ayes
• Bno

Q2:

Given that lines and intersect at , find .

• A
• B
• C
• D

Q3:

Given that lines and intersect at , find .

• A
• B
• C
• D

Q4:

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

• A
• B
• C
• D

Q5:

Find the value of .

• A38
• B106
• C36
• D70

Q6:

Find the value of .

• A34
• B114
• C32
• D82

Q7:

In the given diagram, and . Find the value of .

• A
• B
• C
• D
• E

Q8:

Knowing that , , , and , find .

• A
• B
• C
• D

Q9:

Two intersecting straight lines are shown. Find the values of and .

• A ,
• B ,
• C ,
• D ,
• E ,

Q10:

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

• A ,
• B ,
• C ,
• D ,
• E ,

Q11:

In the figure, , , , and . Find the values of and .

• A ,
• B ,
• C ,
• D ,
• E ,

Q12:

In the given diagram, = . Find .

Q13:

Calculate .

• A
• B
• C
• D
• E

Q14:

What is in the following figure?

Q15:

Find the value of .

Q16:

Find the value of in the given diagram.

• A118
• B28
• C31
• D62
• E124

Q17:

Lines and meet at . Determine the value of .

• A
• B
• C
• D

Q18:

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

• A
• B
• C
• D

Q19:

In the given figure, if and , find .

• A
• B
• C
• D

Q20:

Which of the following statements is true of complementary angles?

• AComplementary angles are equal.
• BComplementary angles sum to .
• CComplementary angles sum to .
• DComplementary angles sum to .
• EComplementary angles sum to .

Q21:

Which of the following statements is true of supplementary angles?

• ASupplementary angles are equal.
• BSupplementary angles sum to .
• CSupplementary angles sum to .
• DSupplementary angles sum to .
• ESupplementary angles sum to .

Q22:

Which of the following statements is always true of vertically opposite angles?

• AVertically opposite angles are supplementary.
• BVertically opposite angles are complementary.
• CVertically opposite angles sum to .
• DVertically opposite angles are equal.
• EVertically opposite angles sum to .

Q23:

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

• A
• B
• C
• D

Q24:

Which of these is the supplement of an acute angle?

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

Q25:

If , then and are .

• A equal in size