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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:

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

  • A greater than
  • B less than
  • C equal to

Q3:

Can , , and be the angles of a triangle?

  • Ano
  • Byes

Q4:

Can , , and be the angles of a triangle?

  • Ayes
  • Bno

Q5:

In triangle , and . Find .

  • A
  • B
  • C
  • D

Q6:

In triangle , and . Find .

  • A
  • B
  • C
  • D

Q7:

Given that and , find .

  • A
  • B
  • C
  • D

Q8:

In , . Determine .

  • A
  • B
  • C
  • D

Q9:

Can a triangle have two right angles?

  • A no
  • B yes

Q10:

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

  • A
  • B
  • C
  • D
  • E

Q11:

Find the measure of .

Q12:

Calculate the value of .

  • A111
  • B60
  • C69
  • D51

Q13:

Calculate the value of .

  • A93
  • B39
  • C87
  • D54

Q14:

In triangle , we have and . What is ?

  • A
  • B
  • C
  • D
  • E

Q15:

In triangle , and . What is ?

  • A
  • B
  • C
  • D
  • E

Q16:

Given that and , find .

  • A
  • B
  • C
  • D

Q17:

Find .

  • A
  • B
  • C
  • D

Q18:

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

  • 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:

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

  • 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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