Answer:
x= 6 and b= 126°
Step-by-step explanation:
okay the first step to solving this is understanding what are the properties of ∠A and ∠B.
so the angles are equal to each other because they are alternate interior angles.
if that is settled it means the equation for both angles would be equal to each other as well.
∠A= 8x + 78° ∠B= 2x + 114°
therefore: 8x + 78= 2x + 114
then solve for x:
- isolate x and the answer is equal to 6 at the end
now you are looking for angle b, so you input x which is 6 into the equation;
= 2(6) + 114°
=12 + 114°
=126°
Answer:
Step-by-step explanation:
15%(p)
First, let's break the worded equation up into two parts:
- "<span>4 times a number less than 6'
This is 4 * (6-x)
- "</span><span>8 more than twice that number"
This is 2x+8
Now combine these two expressions:
</span>4 * (6-x) = 2x+8
4 * (6-x) = 2 * (x+4)
2 * (6-x) = x+4
12-2x = x+4
-3x = -8
x = 8/3
If you have any questions, please leave it in the comment section below.
Hope this helps!