Question

Find the value of x.

Answer 1

x = 31

Explanation:

The sum of the measures of the angles of a triangle is 180 degrees.

x + x + 28 + 90 = 180

2x + 118 = 180

2x = 62

x = 31

Answer 2

Explanation:

The sum of the three angles in a triangle must be
`180`. Since this triangle has a right angle, we know that it is
`90`°, so the sum of the remaining two angles must be
`90`.

We can set up an equation for the two remaining angles to determine the value of
`x`:

`(x + 28) + x = 90`

`2x + 28 = 90`

`2x = 62`

`x = 31`