Lesson Example Discussion Quiz: Class Homework |
Step-4 |
Title: Quadrilaterals (Rhombus, Square) |
Grade: 6-a Lesson: S2-L5 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Lesson Steps
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
The two angles of a quadrilateral are 67° and 86°. If the other two angles are in the ratio of 5 : 7, then find the measure of each of them. |
|
2 |
Step |
The given values are |
67° and 86° angle ratio = 5 : 7 |
3 |
Formula |
You know that the sum of the angles in a quadrilateral is always 360 degrees. So, you can write the equation: |
67° + 86° + 5x + 7x = 360° |
4 |
Step |
Now, simplify and solve for x |
⇒ 67° + 86° + 12x = 360° ⇒ 153° + 12x = 360° |
5 |
Step |
Move constant to right side |
12x = 360 - 153 |
6 |
Step |
Solve for x |
\$x = 207/12\$ |
7 |
Step |
After simplification |
x = 17.25° |
8 |
Step |
Now that you have found the value of x, you can find the measures of the other two angles: |
The first angle is \$5x = 5 \times 17.25° = 86.25°\$ |
9 |
Step |
Now that you have found the value of x, you can find the measures of the other two angles: |
The second angle is \$7x = 7 \times 17.25° = 120.75°\$ |
10 |
Step |
So, the measures of the other two angles are approximately 86.25° and 120.75°. |
|
11 |
SumUp |
Can you summarize what you’ve understood in the above steps? |
|
12 |
Choice.A |
This is not correct because it does not match the correct calculations for the measures of the other two angles in the given ratio |
68.25° and 120.75° |
13 |
Choice.B |
This is correct because it match the correct calculations for the measures of the other two angles in the given ratio |
86.25° and 120.75° |
14 |
Choice.C |
This is not correct because it does not match the correct calculations for the measures of the other two angles in the given ratio |
68.25° and 102.75° |
15 |
Choice.D |
This is not correct because it does not match the correct calculations for the measures of the other two angles in the given ratio |
86.52° and 120.57° |
16 |
Answer |
Option |
B |
17 |
SumUp |
Can you summarize what you’ve understood in the above steps? |
|
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