Question

Help plz this question is so hard for me but I hope someone can solve it plz.

Answer 1

Ok! Here's an explanation and the answer:

The lines clearly make a right angle, as shown by the little square at the corner. A right angle is 90 degrees.

So we see angles 2 and 1. They make up the entire 90 degree angle.

So, you just have to add angles two and one to make 90 degrees.

(a1 = angle 1, and a2 = angle 2)

a1 + a2 = 90 (because of 90 degrees)

Let's replace the values with the ones given.

a1 = 3x and a2 = x + 22.

3x + x + 22 = 90.

The first thing to do is to get rid of the 22 so we only have values with x in it on the left.

Subtract 22 from both sides.

3x + x + 22 - 22 = 90 - 22.

Simplify.

3x + x = 68

Now we only have x values on the left. We can add them.

3x + x = 4x.

4x = 68.

Now, we only want x. No 4, just x. That way we can find the value x.

Divide each side by four to do this.

x = 68/4

x = 17.

Now, plug in 17 to the original values for a1 and a2.

a1 = 3x.

We know x is 17, so a1 is 3 * 17.

3 * 17 = 51.

a1 = 51.

a2 = x + 22

Plug in 17 there.

a2 = 17 + 22

a2 = 39.

In conclusion:

a1 = 51

a2 = 39

Hope this helped!

Answer 2

Answer:

m∠1 = 51

m∠2 = 39

Step-by-step explanation:

In order to solve this question use the equation, 3x + (x + 22) = 90.

Now solve:

3x + x + 22 = 90

4x + 22 = 90

4x = 90 - 22 = 68

x = 68 / 4 = 17

m∠1 = 3x = 51

m∠2 = 17 + 22 = 39

Hope this helps and I hope you stay healthy and safe!