Chapter 4: Q. 100 (page 405)

Translate to a system of equation and solve.
The difference of two supplementary angles is $8$ degrees. Find the measures of the angles.

Short Answer

Expert verified

The measure of the angle are $86$ and $94$

Step by step solution

Step 1. Given information

Suppose $x$ represents the measure of the first angle.

and similarly, $y$ represents the measure of the second angle

Now, both the angles are supplementary

Therefore $x + y = 180$

Step 2. Creating the equation

The difference of two angles is $8$ .

Therefore, $x - y = 8$

Step 3. Finding the value x

$x + y = 180$ ..........

$x - y = 8$ ...........

Solve for $x$ :

$x + y = 180 x - y = 8$

$2 x = 172$

$x = \frac{172}{2}$

$= 86$

Step 4. Finding the value y

Substitute $x = 86$ , in the equation $x + y = 180$

Therefore,

$x + y = 180$

$y = 180 - 86$

$= 94$

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.

Translate to a system of equation and solve.
The difference of two supplementary angles is $8$ degrees. Find the measures of the angles.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Creating the equation

Step 3. Finding the value x

Step 4. Finding the value y

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Decision Maths

Theoretical and Mathematical Physics

Mechanics Maths

Logic and Functions

Geometry

Study anywhere. Anytime. Across all devices.

Translate to a system of equation and solve.The difference of two supplementary angles is8 degrees. Find the measures of the angles.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Creating the equation

Step 3. Finding the value x

Step 4. Finding the value y

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Decision Maths

Theoretical and Mathematical Physics

Mechanics Maths

Logic and Functions

Geometry

Study anywhere. Anytime. Across all devices.

Translate to a system of equation and solve.
The difference of two supplementary angles is $8$ degrees. Find the measures of the angles.