Find the complementary and supplementary angles for an angle greater than 90 degrees

Find the complementary and supplementary angles for an angle greater than 90 degrees

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains the concepts of complementary and supplementary angles. It clarifies that complementary angles add up to π/2, and if one angle is greater than π/2, they cannot be complementary. The tutorial then demonstrates how to calculate supplementary angles, which add up to π, using an example where one angle is 2π/3, resulting in the other angle being π/3.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the sum of two complementary angles?

π

π/2

π/3

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If an angle is greater than π/2, what can be said about its complementary angle?

It is equal to π

It is negative

It is zero

It does not exist

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula for finding a supplementary angle?

π = Theta + Theta prime

π = Theta / 2

π = Theta - Theta prime

π = 2 * Theta

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If Theta is 2π/3, what is Theta prime to make the angles supplementary?

π/3

2π/3

π

3π/3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you visually verify the calculation of a supplementary angle?

By ensuring the sum of angles is π

By comparing the angle to π/2

By measuring the angle with a protractor

By checking if the angle is less than π

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