Lesson Topics Discussion Quiz: Class Homework |
Example1 |
Title: Angles |
Grade Lesson s4-l7 |
Explanation: The best way to understand PSAT-4 is by looking at some examples. Take turns and read each example for easy understanding. |
Examples
Topics → Definition Example1
In a quadrilateral, two consecutive angles are acute, and their measures are in the ratio 3:5. If the smaller angle measures 45 degrees, find the measure of the larger acute angle.
Step: 1 |
|
In a quadrilateral, the sum of all angles is 360 degrees. Let’s call the two consecutive acute angles x and y. We know that x:y = 3:5 and that x = 45 degrees. |
|
Explanation: |
|
Let’s denote the measures of the two consecutive acute angles as 3x and 5x, where x is a common factor representing the ratio. Given that the smaller angle measures 45 degrees, we have: 3x = 45 |
|
Step: 2 |
|
Now we find out the y value \$y = (5/3)x = (5/3) \times 45 degrees\$ |
|
Explanation: |
|
Now, we can find the value of x: \$x = (45) / 3\$ x = 15 |
|
Step: 3 |
|
After Simplification: \$y = 5 \times 15 = 45 degrees\$ |
|
Explanation: |
|
Now that we have the value of x, we can find the measure of the larger acute angle: 5x = \$5 \times 15\$ = 75 degrees |
|
Step: 4 |
|
Therefore, the measure of the larger acute angle is 75 degrees. |
|
Explanation: |
|
So, the measure of the larger acute angle in the quadrilateral is 75 degrees. |
|
Copyright © 2020-2024 saibook.us Contact: info@saibook.org Version: 4.0 Built: 02-September-2025 12:00PM EST