Question

O (3x - 5) + 2x = 90

5x - 5 = 90
5x = 85
x = 17
The angle measures are 34 degrees and 56 degrees.
O (3x - 5) + 2x = 90
5x - 5 = 90
5x = 85
x = 17
The angle measures are 34 degrees and 46 degrees.
O (3x - 5) + 2x = 90
5x - 5 = 90
5x = 95
x = 19
The angle measures are 52 degrees and 38 degrees.
O (3x - 5) + 2x = 90
5x - 5 = 90
5x = 95
x = 19
The angle measures are 19 degrees and 71 degrees.

Answer 1

Equation:
`3x-5+2x=90`

Angle measures: 52 degrees and 38 degrees

Explanation:

Hi there!

We're given that the two angles form a right angle, which means they add up to 90 degrees.

Knowing this, we can construct the following equation:

`3x-5+2x=90`

Now, we must solve for x:

`5x-5=90\\5x=95\\x=19`

Therefore, x=19. Plug this into the expression for each angle to find their measures:

`3x-5\\= 3(19)-5\\= 57-5\\=52`

`2x\\=2(19)\\=38`

Therefore, the two angles measure 52 degrees and 38 degrees.

I hope this helps!