/*! 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 53 Find (if possible) the complemen... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Problem 53

Find (if possible) the complement and supplement of each angle. (a) \(18^{\circ}\) (b) \(85^{\circ}\)

Short Answer

Expert verified
The complement and supplement of angle \(18^{\circ}\) are \(72^{\circ}\) and \(162^{\circ}\) respectively. The complement and supplement of angle \(85^{\circ}\) are \(5^{\circ}\) and \(95^{\circ}\) respectively.

Step by step solution

01

Identify the given angle (a)

The given angle (a) is \(18^{\circ}\).
02

Calculate the complement of angle (a)

To find the complement of the angle, subtract the given angle from \(90^{\circ}\). That is \(90^{\circ}\) - \(18^{\circ}\) = \(72^{\circ}\).
03

Calculate the supplement of angle (a)

To find the supplement of the angle, subtract the given angle from \(180^{\circ}\). That is \(180^{\circ}\) - \(18^{\circ}\) = \(162^{\circ}\).
04

Identify the given angle (b)

The given angle (b) is \(85^{\circ}\).
05

Calculate the complement of angle (b)

To find the complement of the angle, subtract the given angle from \(90^{\circ}\). That is \(90^{\circ}\) - \(85^{\circ}\) = \(5^{\circ}\).
06

Calculate the supplement of angle (b)

To find the supplement of the angle, subtract the given angle from \(180^{\circ}\). That is \(180^{\circ}\) - \(85^{\circ}\) = \(95^{\circ}\).

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!

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

Use a graph to solve the equation on the interval \([-2 \pi, 2 \pi]\). $$ \tan x=\sqrt{3} $$

Graph the functions \(f\) and \(g\). Use the graphs to make a conjecture about the relationship between the functions. $$ f(x)=\sin x-\cos \left(x+\frac{\pi}{2}\right), \quad g(x)=2 \sin x $$

Evaluate the expression without using a calculator. $$ \arccos \frac{1}{2} $$

The normal monthly high temperatures \(H\) (in degrees Fahrenheit) in Erie, Pennsylvania are approximated by \(H(t)=56.94-20.86 \cos (\pi t / 6)-11.58 \sin (\pi t / 6)\) and the normal monthly low temperatures \(L\) are approximated by \(L(t)=41.80-17.13 \cos (\pi t / 6)-13.39 \sin (\pi t / 6)\) where \(t\) is the time (in months), with \(t=1\) corresponding to January (see figure). (a) What is the period of each function? (b) During what part of the year is the difference between the normal high and normal low temperatures greatest? When is it smallest? (c) The sun is northernmost in the sky around June 21 , but the graph shows the warmest temperatures at a later date. Approximate the lag time of the temperatures relative to the position of the sun.

Sketch the graph of the function. Include two full periods. $$ y=2 \cot \left(x+\frac{\pi}{2}\right) $$
See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Mechanics Maths

Read Explanation

Probability and Statistics

Read Explanation

Geometry

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Calculus

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.