/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 19 Find the supplement of a \(162^{... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 7: Problem 19

Find the supplement of a \(162^{\circ}\) angle.

Short Answer

Expert verified
The supplement of a \(162^{\circ}\) angle is \(18^{\circ}\)

Step by step solution

01

Identify the given angle

You are provided with a \(162^{\circ}\) angle. This will be deducted from \(180^{\circ}\) to find the supplement.
02

Find the supplement

Subtract the given angle from \(180^{\circ}\) to find the supplement. That means \(180^{\circ} - 162^{\circ} = 18^{\circ}\).

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.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Angle Subtraction
Subtracting angles is a fundamental concept in geometry. Subtraction is used to find the supplementary angle.
The step involves determining how much more is needed to reach a straight line, which is 180 degrees.
  • Given: 162 degrees angle.
  • Subtract from 180 degrees: Calculate by subtracting the given angle from 180.
  • \[180^{\circ} - 162^{\circ} = 18^{\circ}\]
In simple terms, angle subtraction helps us find the angle that, when added to the given angle, completes a straight line.
Geometry
Geometry is the branch of mathematics that deals with shapes, sizes, and the properties of space.
One core concept is understanding angles and their relationships. Supplementary angles are a key concept in this area.
Angles become supplementary when the sum of their measures equals 180 degrees.
Consider a straight line as a perfect path for supplementary angles.
  • If you are given an angle within a geometric figure, finding its supplement provides insight into other shape properties.
  • Practicing such calculations enhances spatial understanding and problem-solving skills.
Thus, geometry unravels the relationships between angles and positions within various shapes.
Basic Arithmetic
Arithmetic involves the basic operations of addition, subtraction, multiplication, and division. These operations are foundational for more complex mathematical tasks.
In this exercise, subtraction is the primary operation we use to find the supplement of the angle.
  • Subtraction as a concept: When you take away the value of one angle from a larger total to find what remains.
  • Working from 180 degrees is common since this represents the straight angle.
Math basics like these empower precise calculation and understanding, which are essential for advanced mathematical operations. Applying subtraction in various contexts builds strong mathematical reasoning skills.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

The diameter of a circle is \(6.5 \mathrm{m}\). Find the area of the circle. Give the exact value.

The measures of the angles of a triangle are in the ratio \(2: 3: 7 .\) Find the number of degrees in the largest angle.

If both the length and the width of a rectangle are doubled, how many times larger is the area of the resulting rectangle?

A triangle has a \(45^{\circ}\) angle and a right angle. Find the measure of the third angle.

The height of a trapezoid is 5 in. The bases measure 16 in. and 18 in. Find the area of the trapezoid.
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Calculus

Read Explanation

Discrete Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Logic and Functions

Read Explanation

Theoretical and Mathematical Physics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.