Question

PLZ ANSWER APSP IM IN THE TEST RN!!!

Answer 1

Answer:

x = 38

y = 25

Step-by-step explanation:

To find x, you do

(2x + 5) = (3x - 33)

Subtract 2x from both sides to isolate x on one side, you get:

5 = (x - 33)

Add 33 to both sides to separate the normal number from the x, you get:

38 = x

From there, you plug x into one of the equations

2(38) + 5

The answer's 81, meaning that angle is 81 degrees. Using supplementary angles, you can find that angle ACD = 99, which you can use to find angle BCE. You'll get this equation:

(4y - 1) = 99

Add one to both sides to get rid of it, you get:

4y = 100

Divide by four, to get the y all alone:

y = 25

I hope this helped!

Answer 2

Answer: x = 38 ; y = 25 ; ∠BCE = 99

Step-by-step explanation:

To value of x do:

(2x+5) = (3x -33)  Because vertically opposite angles are equal.

2x - 3x = -33 - 5

-x = - 38

x = 38

To find the value of y, find ∠BCA first.

∠BCA = 2(38) + 5 = 76 + 5 = 81.

Now, ∠BCA  + 4y - 1 = 180 Because they form a straight line.

81 + 4y - 1 = 180

80 + 4y = 180

4y = 100

y = 25

∠BCE = 4y -1

So, ∠BCE = 4(25) - 1 = 100 -1 = 99