/*! 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 37 What is the complement of the su... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 37

What is the complement of the supplement of an angle measuring \(130^{\circ} ?\)

Short Answer

Expert verified
The complement of the supplement of 130掳 is 40掳.

Step by step solution

01

- Understand the Supplement

The supplement of an angle is found by subtracting the angle from 180掳. Calculate the supplement of the given angle 130掳.
02

- Calculate the Supplement

Subtract the given angle from 180掳: \(180^{\text{掳}} - 130^{\text{掳}} = 50^{\text{掳}}\). So, the supplement of 130掳 is 50掳.
03

- Understand the Complement

The complement of an angle is found by subtracting the angle from 90掳. Now find the complement of the supplement we calculated.
04

- Calculate the Complement

Subtract the supplement from 90掳: \(90^{\text{掳}} - 50^{\text{掳}} = 40^{\text{掳}}\). So, the complement of the supplement of 130掳 is 40掳.

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 measurement
Understanding how to measure angles is crucial in geometry. Angles are formed where two lines meet at a point, referred to as the vertex. The size of an angle is measured in degrees (掳), which tells us how 'wide' the angle is.
Think of the degrees like slices in a pizza. A full circle is 360掳, a straight line is 180掳, and right angle (like in the corner of a square) is 90掳.
When working with angles, you'll often need to identify or calculate them based on these measurements. In problems like our example, we need to use simple addition and subtraction with these degree measurements to find complements and supplements.
supplementary angles
Supplementary angles are pairs of angles whose sum is always 180掳.
If you have two angles and their measures add up to 180掳, then they are supplementary.
For instance, if one angle is 120掳, then the angle that supplements it is 180掳 - 120掳 = 60掳. You see this often with straight lines where the angles on one side of the line always add up to 180掳.
In the exercise, we were given an angle of 130掳 and asked to find its supplement. By subtracting 130掳 from 180掳, we got 50掳.
complementary angles
Complementary angles are pairs of angles whose sum is always 90掳.
If you have two angles and their measures add up to 90掳, then they are complementary.
For example, if one angle is 30掳, its complement is 90掳 - 30掳 = 60掳.
In this exercise, after finding the supplement of 130掳 (which was 50掳), we needed to find the complement of that supplement. To do this, we subtracted 50掳 from 90掳, giving us 40掳. So, the complement of the supplement of 130掳 is 40掳.

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 puzzles are classic examples and a certain amount of deductive reasoning is required to solve them. Some of these puzzles are quite challenging, so don't be discouraged if you have trouble finding the solution immediately. Ideally they will make you think a bit and, along the way, provide a bit of entertainment. A young dog and an older dog are in the backyard. The young dog is the older dog's daughter but the older dog is not the young dog's mother. Explain.

Give the inverse of each statement. If it rains, then I will stay indoors.

State whether each angle given in Exercises \(43-51\) is straight, right, acute, or obtuse. $$90^{\circ}$$

State the hypothesis and conclusion for each statement. Two lines with slopes \(m_{1}\) and \(m_{2}\) are parallel if \(m_{1}=m_{2}\).

For problems 13-26, explain the reasoning in one or two complete sentences. Can two vertical angles both be right angles?
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Probability and Statistics

Read Explanation

Logic and Functions

Read Explanation

Applied Mathematics

Read Explanation

Mechanics Maths

Read Explanation

Geometry

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.