# Worksheet: Triangle Angle Sum Theorem

Q1:

Complete the following: The sum of sizes of the interior angles of a triangle is .

• A
• B
• C
• D
• E

Q2:

Can a triangle have two right angles?

• Ano
• Byes

Q3:

In triangle , and . Find .

• A
• B
• C
• D

Q4:

In triangle , and . Find .

• A
• B
• C
• D

Q5:

In triangle , we have and . What is ?

• A
• B
• C
• D
• E

Q6:

Calculate the value of .

• A69
• B51
• C111
• D60

Q7:

What is the sum of the sizes of the two acute angles in a right-angled triangle?

• A
• B
• C
• D
• E

Q8:

Can , , and be the angles of a triangle?

• Ano
• Byes

Q9:

Given that and , find .

• A
• B
• C
• D

Q10:

Complete the sentence: The size of a straight angle is the sum of the sizes of the interior angles of a triangle.

• Aequal to
• Bgreater than
• Cless than

Q11:

Can , , and be the angles of a triangle?

• Ayes
• Bno

Q12:

Calculate the value of .

• A87
• B54
• C93
• D39

Q13:

Find .

• A
• B
• C
• D

Q14:

Find the measure of .

Q15:

In triangle , and . What is ?

• A
• B
• C
• D
• E

Q16:

Given that and , find .

• A
• B
• C
• D

Q17:

In , . Determine .

• A
• B
• C
• D

Q18:

In the figure below, given that is a rectangle, determine .

• A
• B
• C
• D

Q19:

The given design is carved on a wooden board. If is a right angle, determine the values of , , and .

• A, ,
• B, ,
• C, ,
• D, ,

Q20:

The given design is carved on a wooden board. If is a right angle, determine the values of , , and .

• A, ,
• B, ,
• C, ,
• D, ,

Q21:

In the figure below, given that is a rectangle, determine .

• A
• B
• C
• D

Q22:

Determine the values of and .

• A,
• B,
• C,
• D,

Q23:

Determine the values of and .

• A,
• B,
• C,
• D,