Chapter 4: Q. 97 (page 405)

The difference of two
complementary angles is 17
degrees. Find the measures of the
angles.

Short Answer

Expert verified

The measures of angle are $53.5$ and $36.5$

Step by step solution

Step 1. Given information

Two complementary angle $x$ and $y$ such that $x + y = 90$ .

Step 2. Creating the equation

The difference of the two complementary angles is 17 degrees.

therefore,

$x - y = 17$

Step 3. Solve for y

Put the values of $x = 17 + y$ into

$x + y = 90 17 + y + y = 90 2 y = 90 - 17 y = \frac{73}{2} y = 36.5$

Step 4. Solve for x

Put the value of $y = 36.5$ into

$x + y = 90 x + 36.5 = 90 x = 53.5$

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.

The difference of two
complementary angles is 17
degrees. Find the measures of the
angles.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Creating the equation

Step 3. Solve for y

Step 4. Solve for x

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Logic and Functions

Theoretical and Mathematical Physics

Decision Maths

Pure Maths

Statistics

Study anywhere. Anytime. Across all devices.

The difference of twocomplementary angles is 17degrees. Find the measures of theangles.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Creating the equation

Step 3. Solve for y

Step 4. Solve for x

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Logic and Functions

Theoretical and Mathematical Physics

Decision Maths

Pure Maths

Statistics

Study anywhere. Anytime. Across all devices.

The difference of two
complementary angles is 17
degrees. Find the measures of the
angles.