Question
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? (1 point) (x+4)°= _°, (3x+2)°= _°
Answers
GPT 3.5
To determine the unknown angle measures that form a 90° angle, we need to set up the equation:
(x + 4)° + (3x + 2)° = 90°
Combining like terms, we have:
4x + 6 = 90
Subtracting 6 from both sides:
4x = 84
Dividing both sides by 4:
x = 21
So, the two unknown angle measures that form the 90° angle are:
(x + 4)° = (21 + 4)° = 25°
(3x + 2)° = (3(21) + 2)° = 65°
(x + 4)° + (3x + 2)° = 90°
Combining like terms, we have:
4x + 6 = 90
Subtracting 6 from both sides:
4x = 84
Dividing both sides by 4:
x = 21
So, the two unknown angle measures that form the 90° angle are:
(x + 4)° = (21 + 4)° = 25°
(3x + 2)° = (3(21) + 2)° = 65°