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

Question

(x + 4) degree
(3x + 2) degree
What are the two unknown angle measurements that form the 90 degree angle?
(x + 4) degree = ____ degree, (3x + 2) degree = ____

Answer 1

To find the two unknown angle measurements that form the 90-degree angle, we need to set up the equation:
(x + 4) + (3x + 2) = 90

Now, let's solve for x:
4x + 6 = 90
4x = 84
x = 21

Now, substitute the value of x back into the expressions:

(x + 4) degree = (21 + 4) degree = 25 degree
(3x + 2) degree = (3 * 21 + 2) degree = 65 degree

Therefore, the unknown angle measurements that form the 90-degree angle are:
(x + 4) degree = 25 degree
(3x + 2) degree = 65 degree