Chapter 12: Q15. (page 689)

Tell whether the angles are complementary, supplementary, or neither.
$\begin{matrix} m ∠ 3 = 64 ° \\ m ∠ 4 = 116 ° \end{matrix}$

Short Answer

Expert verified

The pair of angles are 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.

$\begin{matrix} m ∠ 3 + m ∠ 4 = 64 ° + 116 ° \\ = 180 ° \end{matrix}$

Step 4. Conclusion.

Since the sum of angles is $180 °$ , the given pair of angles are supplementary to each other.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Tell whether the angles are complementary, supplementary, or neither.
$\begin{matrix} m ∠ 3 = 64 ° \\ m ∠ 4 = 116 ° \end{matrix}$

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

Applied Mathematics

Geometry

Mechanics Maths

Statistics

Calculus

Pure Maths

Study anywhere. Anytime. Across all devices.

Tell whether the angles are complementary, supplementary, or neither.m∠3=64°m∠4=116°

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

Applied Mathematics

Geometry

Mechanics Maths

Statistics

Calculus

Pure Maths

Study anywhere. Anytime. Across all devices.

Tell whether the angles are complementary, supplementary, or neither.
$\begin{matrix} m ∠ 3 = 64 ° \\ m ∠ 4 = 116 ° \end{matrix}$