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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,

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