An illustration shows three rays extending from a common origin. The angle measures between them are labled.

Question

(x+4) degrees and (3x+2) degrees. What are the two unknown angle measures that form the 90 degree angle?

Answer 1

To find the two unknown angle measures that form the 90-degree angle, we need to set up the equation:

(x+4) + (3x+2) = 90

Simplifying the equation, we get:

4x + 6 = 90

Subtracting 6 from both sides:

4x = 84

Dividing both sides by 4:

x = 21

Now we can find the two unknown angle measures:

First angle: x+4 = 21+4 = 25 degrees

Second angle: 3x+2 = 3(21)+2 = 63+2 = 65 degrees

Therefore, the two unknown angle measures that form the 90-degree angle are 25 degrees and 65 degrees.