Answer:
5. x = 20°, missing angle is 59°
6. x = 17°, angle is 34°
Step-by-step explanation:
5.
All the angles in a triangle need to add up to 180°, and we have a 90° angle and a 31° angle. That means:
(3x - 1) + 90 + 31 = 180 --- set up equation
(3x - 1) + 121 = 180 --- combine like terms
3x - 1 = 59 --- subtract 121 from both sides
3x = 60 --- add 1 to both sides
x = 20 --- divide both sides by 3
Now that we know what x is, we can solve (3x-1)°
3(20)-1
60 - 1
59°
6.
First, we need to find the missing angle inside the triangle.
The missing angle and the 94° angle are supplementary, meaning they add up to 180°. We can solve for the missing angle like this:
Let the missing angle = y
y = 180 - 94
y = 86°
Now we can solve for x:
86 + 60 + 2x = 180 --- set up equation
2x + 146 = 180 --- combine like terms
2x = 34 --- subtract 146 from both sides
x = 17° --- divide both sides by 2
Now 2x is:
2(17)
34°
