Question

I need help please ​

Answer 1

1. angle ABC = 60

2. angle BCA = 90

3. angle CAB = 30

Explanation:

Since we know the right angle =90 degrees, we just need to do simple algebra. (We also know the all three angles added together equals 180.)

5x+9x+6+90=180.

Now let's simplify. We can simplify by adding like terms:

14x+96=180

Now we just need to do simple algebra. First we'd subtract the 96 from both sides:

14x+96=180

-96 -96

14x = 84

Now we just need to divide 14 from both sides to separate the 14 from the x.

`(14x)/(14)` =
`(84)/(14)`

x = 6

Now that we know what x equals, we just need to fill it into the equations which shouldn't be too hard. :)

Extra hint: to check your answer just add all three angles together and if you get 180 your answer is correct. :)

HOPE THIS HELPS!! <3 :D

Answer 2

See below.

Explanation:

In all triangles, the three interior angles will add up to 180°. Therefore:

`(9x+6)+(5x)+(90)=180`

Remember that the little square means a right angle.

Now, solve for x.

`9x+6+5x+90=180\\14x+96=180\\14x=84\\x=6`

Now, plug x back into the equations to find each angle:

1)

`\angle ABC = \angle B = 9(6)+6=60\textdegree`

2)

`\angle BCA = \angle C = 90\textdegree`

3)

`\angle CAB = \angle A=5(6)=30`