When two angles are a linear pair, the sum of their measures is 180°:
∡1 + ∡ 2 = 180°
Substituting the expressions for the angles, you get:
<span>5y − 8 + 12 + 6y = 180
Solve for y:
11y = 176
y = 176/11
Now, substitute this value in the expression for </span>∠2, which is the one we are interested in:
∡2 = 12 + 6y = 12 + 6×(<span>176/11) = 108°
When two angles are vertical angles, it means that they share the same vertex and they have the same measure, therefore:
</span>∡3 = ∡2 = 108°
Hence, the correct answer is <span>C) 108°. </span>
I might be wrong, but I think you could solve this using algebra (if you haven't studied algebra you probably won't understand this answer). First I would try to let Henry's age equal X (it's the unknown) and let his sister's age equal his age (X) minus three, since she's three years younger. So:
Henry's age = X
Sister's age = X - 3
Total = 180
If you knew there two ages adding them together would get 180. That's what they mean by the "product" of their ages. Since we're letting the variables represent there ages we'll add those instead.
X + X - 3 = 180. Next add the X's
2X - 3 = 180. Add 3 to both sides
2X = 183. Divide 2 into 183
X = 91.5
X - 3 = 88.5
So Henry is roughly 91 and his sister is roughly 88. They only asked for Henry's age so depending on the context you can give them his exact age or his rough age. I think I did this right, so hopefully this helps!
Answer:
16 is the answer of the given question thabks in question hope it will help you hoo
The easiest way I know is to multiply the divisor by different numbers to see how many times it will go into the dividend. multiplying 486 by 2 or three and seeing which one gets closest.
The formula for the circumference of a circle:
pi×diameter
so the ratio is this:
circumference/diameter=pi