Since the angle measures are labeled, let's label the angles as follows:
Angle 1: (x+4)°
Angle 2: 90°
Angle 3: (3x+2)°
Given that Angle 2 is a 90° angle, we can set up the equation:
Angle 1 + Angle 2 + Angle 3 = 180°
Substituting in the given values, we have:
(x+4)° + 90° + (3x+2)° = 180°
Simplifying the equation:
x + 4 + 90 + 3x + 2 = 180
4x + 96 = 180
4x = 84
x = 21
Therefore, the two unknown angle measures that form the 90° angle are:
(x+4)° = (21+4)° = 25°
(3x+2)° = (3(21)+2)° = 65°
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)°=
1 answer
1 answer