Chapter 12: Q4. (page 689)

Tell whether the angles are complementary, supplementary, or neither.
$\begin{matrix} m ∠ 3 = 108 ° \\ m ∠ 4 = 72 ° \end{matrix}$

Short Answer

Expert verified

The pair of anglesare supplementary to each other.

Step by step solution

Step 1. Given Information.

The choices are: complementary, supplementary, or neither

Step 2. Concept used.

If the sum of two angles is $90 °$ then the angles are called complementary angles and if the sum is $180 °$ then the angles are called supplementary angles.

Step 3. Calculation.

Calculate the sum of the measures of the two angles.

$\begin{matrix} m ∠ 3 + m ∠ 4 = 108 ° + 72 ° \\ = 180 ° \end{matrix}$

Step 4. Conclusion.

Since the sum of angles is $180 °$ , the given two angles are a supplementary angle pair.

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Tell whether the angles are complementary, supplementary, or neither.
$\begin{matrix} m ∠ 3 = 108 ° \\ m ∠ 4 = 72 ° \end{matrix}$

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Concept used.

Step 3. Calculation.

Step 4. Conclusion.

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Tell whether the angles are complementary, supplementary, or neither.m∠3=108°m∠4=72°

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Concept used.

Step 3. Calculation.

Step 4. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Logic and Functions

Applied Mathematics

Calculus

Decision Maths

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Tell whether the angles are complementary, supplementary, or neither.
$\begin{matrix} m ∠ 3 = 108 ° \\ m ∠ 4 = 72 ° \end{matrix}$