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In this lesson, we will learn how to identify supplementary and complementary angles and how to apply these relationships in order to find a missing angle.

Q1:

Classify the pair of angles as complementary, supplementary, or neither.

Q2:

State whether the given pair of angles is supplementary, complementary, or neither.

Q3:

Does every right-angled triangle contain a pair of complementary angles?

Q4:

If β π΄ and β π΅ are complementary, π β π΄ = π β πΆ , and β π· complements β πΆ , which of the following is equal to π β π΅ ?

Q5:

Find the measure of the angle which supplements the angle measuring 9 9 β .

Q6:

Find π β π· π΅ πΆ .

Q7:

Given that the two angles are supplementary, find the value of π₯ .

Q8:

Find the value of .

Q9:

Find the value of π₯ .

Q10:

Classify the following pair of angles as complementary, supplementary, vertical, or neither.

Q11:

Q12:

Given the following figure, find π β π΅ π π· .

Q13:

In the given diagram, π₯ and π¦ are two adjacent angles that lie on the same line. Find an equation for their sum.

Q14:

Given the following figure, find π β π΅ π π΄ .

Q15:

A pair of supplementary angles are in the ratio of 1 βΆ 9 . What is the smaller angle?

Q16:

What is the supplementary angle to 1 4 7 . 2 1 β ?

Q17:

If two angles are complementary, what is the sum of their measures?

Q18:

Given that π β π΄ π π΅ = 7 5 β , what is π β π΅ π πΆ ?

Q19:

You are told that β π» and β π΄ are vertically opposite angles. If π β π» = 9 0 β , what is π β π΄ ?

Q20:

If β π΄ and β π΅ are both complementary and congruent, what is π β π΅ ?

Q21:

Given that β π΄ and β π΅ are complementary angles, and β π΅ and β πΆ are supplementary angles. If π β π΄ = 5 1 β , what is π β πΆ ?

Q22:

If the measure of β π΅ π΄ πΆ = 6 1 β , what is the measure of β π΅ π΄ πΉ ?

Q23:

Determine the values of and .

Q24:

Which of the following statements is true of complementary angles?

Q25:

Which of the following statements is true of supplementary angles?

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