Question 4 of 10, Step 1 of 1 Correct Two angles are complementary if the sum of their measures is 90°. Find two complementary angles such that the smaller angle is 285" less than 4 times the larger angle. (Round to two decimal places if necessary.) Answer How to enter your answer (opens in new window) the smaller complementary angle the larger complementary angle 2 Keypad Keyboard Shortcuts
Question 4 of 10, Step 1 of 1 Correct Two angles are complementary if the sum of their measures is 90°. Find two complementary angles such that the smaller angle is 285" less than 4 times the larger angle. (Round to two decimal places if necessary.) Answer How to enter your answer (opens in new window) the smaller complementary angle the larger complementary angle 2 Keypad Keyboard Shortcuts
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![**Question 4 of 10, Step 1 of 1**
Two angles are complementary if the sum of their measures is 90°. Find two complementary angles such that the smaller angle is 28.5° less than 4 times the larger angle. (Round to two decimal places if necessary.)
**Answer**
- [Input Box] ° the smaller complementary angle
- [Input Box] ° the larger complementary angle
**Instructions:**
1. Enter the values for the smaller and larger complementary angles in the respective input boxes.
2. Use the information given to solve for the two angles.
3. Ensure that the sum of your angle measures equals 90° and the condition regarding the smaller angle is satisfied.
4. Round your final answers to two decimal places if necessary.
**Tools:**
- Use the (Keypad) or (Keyboard Shortcuts) for entering your answer.
**Submit the answer** by clicking the "Submit Answer" button after filling in both input boxes.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdad9db74-a689-4374-b398-94285063bb6c%2F67bc03d0-4b00-4e71-8308-194f88c2c0e0%2F0njh8oc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question 4 of 10, Step 1 of 1**
Two angles are complementary if the sum of their measures is 90°. Find two complementary angles such that the smaller angle is 28.5° less than 4 times the larger angle. (Round to two decimal places if necessary.)
**Answer**
- [Input Box] ° the smaller complementary angle
- [Input Box] ° the larger complementary angle
**Instructions:**
1. Enter the values for the smaller and larger complementary angles in the respective input boxes.
2. Use the information given to solve for the two angles.
3. Ensure that the sum of your angle measures equals 90° and the condition regarding the smaller angle is satisfied.
4. Round your final answers to two decimal places if necessary.
**Tools:**
- Use the (Keypad) or (Keyboard Shortcuts) for entering your answer.
**Submit the answer** by clicking the "Submit Answer" button after filling in both input boxes.
Expert Solution
Step 1
Let smaller complimentary angle be x and larger complimentary angle be y.
Total Equations are 2
x+y=90→(1)
-x+4y=285→(2)
Select the equations (1) and (2), and eliminate the variable x.
| x+y=90 | ×1→ | x | + | y | = | 90 | |||
| + | |||||||||
| -x+4y=285 | ×1→ | - | x | + | 4y | = | 285 | ||
| 5y | = | 375 | →(3) | ||||||
Now use back substitution method
From (3)
5y=375
⇒y=375/5=75
Step by step
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