Hi Bre,

Since lines a and b are parallel, we know that in the image:
- ∡1 ⇔ ∡5
- ∡2 ⇔ ∡6
- ...
- ∡4 ⇔ ∡8

We're given the angle of ∡7, which is 114°. We can see that ∡7 + ∡8 will equal to 180° (since line b is a straight line) and since ∡8 ⇔ ∡4, we can deduct that ∡7 + ∡4 = 180°.

From here, it's just imputing the information and solving.
⇒ 114° + ∡4 = 180°
⇒ ∡4 = 180° - 114°
⇒ ∡4 = 66°

-Hope this helps!

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3 years ago

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Ken went to the store for his mother. He spent $2.37 on groceries. In addition, his mother said he could spend $0.35 on candy. W

Sladkaya [172]

Ken spent $2.37 on groceries and $0.35 on candy, and paid for them with a 5 dollar bill.

To find how much money Ken spent, we add up how much he spent on groceries and candy

Total amount spent = 2.37+0.35= $2.72

Since he paid with a 5 dollar bill, we need to subtract it from how much he spent to find the change

Change = 5 - 2.72 = $2.28

Ken got $2.28 in change.

To fill the boxes, it would be