Lesson Example Discussion Quiz: Class Homework |
Step-3 |
Title: Angles |
Grade: 6-a Lesson: S4-L3 |
Explanation: Let us verify the answer here with the steps. |
Lesson Steps Head1
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
A Octagon has one interior angle that measures 108 degrees. What is the measure of each of the other seven interior angles in the Octagon? |
|
2 |
Step |
Given that one of the interior angles is |
108° |
3 |
Hint |
A Octagon has 8 sides |
|
4 |
Formula |
The sum of its interior angles can be calculated using the formula: |
\$(n - 2) \times 180°\$ |
5 |
Step |
Now place the n value into the formula. |
⇒ \$(8 - 2) \times 180°\$ ⇒ \$ 6 \times 180° = 1080°\$ |
6 |
Step |
Now can find the measure of each of the other seven interior angles by subtracting the known angle from the sum of the interior angles: |
Each interior angle = \$("Sum of interior angles - Known angle") / ("Number of other angles")\$ |
7 |
Step |
After simplification |
Each interior angle = \$(1080° - 108°) / 7\$ Each interior angle = \$(972°) / 7\$ Each interior angle = 138.85° |
8 |
Step |
So, each of the other seven interior angles in the octagon measures 138.86°. |
|
9 |
Answer |
B |
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