Lesson Example Discussion Quiz: Class Homework |
Step-1 |
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 necklace charm has the shape of a quadrilateral inside a circle. Find ∠u & ∠w. |
|
2 |
Hint |
Since the quadrilateral is inscribed in a circle, we know the opposite angles are supplementary. |
∠u + ∠w = 180° |
3 |
Step |
The given ∠u is (9y + 3) and ∠w is (12y - 12). |
|
4 |
Step |
Now plug the values |
(9y + 3)° + (12y -12)° = 180° |
5 |
Step |
After simplification |
⇒ 21y - 9 = 180 |
6 |
Step |
Add 9° on both sides |
⇒ 21y - 9 + 9 = 180 + 9 ⇒ 21y = 189 |
7 |
Step |
Divide 21 on both sides |
⇒ \$(21y)/21\$ = \$189 /21\$ ⇒ y = 9 |
8 |
Step |
Substitute the values y value into the ∠u. |
⇒(9y + 3)° = (9(9) + 3)° ⇒ (81 + 3)° = 84° |
9 |
Step |
Substitute the values y value into the ∠w. |
⇒ (12y -12)° = (12(9) - 12)° ⇒ (108 - 12)° = 96° |
10 |
Step |
Since 84° & 96° = 180°. |
|
11 |
Answer |
A |
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