# Worksheet: Angle Sum of a Triangle

In this worksheet, we will practice finding a missing angle in a triangle given the two other angles.

Q1:

The measures of the base angles of an isosceles triangle are and , and the measure of the vertex angle is . Find the values of and .

• A,
• B,
• C,
• D,

Q2:

Find the measure of . Q3:

Complete the sentence: The measure of a straight angle is the sum of the measures of the interior angles of a triangle.

• Agreater than
• Bless than
• Cequal to

Q4:

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

Q5:

Calculate the value of . Q6:

In triangle , and . What is ?

Q7:

Find . Q8:

The given design is carved on a wooden board. If is a right angle, determine the values of , , and . • A, ,
• B, ,
• C, ,
• D, ,

Q9:

Determine the values of and . • A,
• B,
• C,
• D,

Q10:

In triangle , and . Find .

Q11:

In , . Determine .

Q12:

In the figure below, given that is a rectangle, determine . Q13:

If is a triangle in which and . Calculate the measures of angles , , and .

• A, ,
• B, ,
• C, ,
• D, ,

Q14:

In the triangle , , , and . Find the measure of each angle.

• A, ,
• B, ,
• C, ,
• D, ,
• E, ,

Q15:

Given that is a triangle in which , , and , determine .

Q16:

Find the measure of each angle in the triangle below. • A, ,
• B, ,
• C, ,
• D, ,

Q17:

The figure shows a rectangle and a square . What is ? Q18:

The sum of the measures of the angles of a triangle is . In a right triangle, what is the sum of the measures of the two acute angles?

Q19:

In , . If is an altitude of , find . Q20:

If the ratio between the measures of the angles of a triangle is , determine the measures of the angles.

• A, ,
• B, ,
• C, ,
• D, ,
• E, ,

Q21:

Suppose that in the figure, and . Determine these two angles. • A,
• B,
• C,
• D,
• E,

Q22:

The measures of the angles in a triangle are in a ratio of . Work out the measures of these angles.

• A, ,
• B, ,
• C, ,
• D, ,
• E, ,

Q23:

Is the measure of a straight angle equal to the sum of the measures of the angles of a triangle?

• Ano
• Byes

Q24:

is a triangle in which bisects . If and , find . Q25:

What is ? 