Answer: x is 9° , y is 21°. The measure of angle ABE is 48°.
Step-by-step explanation:
First we will solve for x.
The variable x appears in the angle 8x + 18 and that angle is a right angle.
Right angles have the measure of 90 degrees so we will set the angle equal 90 and solve for x.
8x + 18 = 90 Subtract 18 from both sides
- 18 -18
8x = 72 divide both sides by 8
x = 9
y is also on the right side and the combination of both angles has to also equal 90 degrees because they form a right angle.
Since we already know x is 9 we will input it into the left side for x and solve for y.
y + 3(9) + 2y = 90
3y + 27= 90
-27 -27
3y = 63
y = 21
Now we need to find the measure of angle ABE.
ABE is represented by y + 3x so since we know the value of y and x we will input it into the expression and solve for the angle.
21 + 3(9) = m∠ABE
21 + 27= m∠ABE
48 = m∠ABE
This means the measure of angle ABE is 48°
X=4
let me know in the comments if you need an explanation :)
Answer:
Here you go let me know if you need anything else
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Perpendicular lines have the exact opposite slope of the other equation.
So the slope will be x or 1x. Plug in
-8 = 1(4) + b (b represents y-intercept) like y=mx+b
-8 = 4 + b (subtract 4 on both sides)
-12 = b
The equation is y = x - 12
C
solve
y + 8 = x - 4 (subtract 8 on both sides)
y = x - 12
