An illustration shows three rays extending from a common origin. The angle measures between them are labeled. What are the two unknown angle measures that form the 90° angle?

Question

the equation is...
(x+4)°= ?°, (3x+2)°=?°

Answer 1

To find the two unknown angle measures that form the 90° angle, we set the equation equal to 90°, as a right angle measures 90°.

(x+4)° + (3x+2)° = 90°

Now, we can solve for x by combining like terms and simplifying the equation:

4x + 6° = 90°

Subtracting 6° from both sides:

4x = 84°

Dividing both sides by 4:

x = 21°

Now that we have the value of x, we can substitute it back into the equation to find the angle measures:

(x+4)° = (21°+4)° = 25°

(3x+2)° = (3(21°)+2)° = 65°

Therefore, the two unknown angle measures that form the 90° angle are 25° and 65°.