I need help fast with this! please (14 points)

The measures of the angles in Triangle UVW are shown in the diagram below.

1.Write an equation to solve for the value of X

2.Solve for the value of x !

3.State the measure of angle U and how you found it

Heres the figure! thank you for any help with this question its very challenging (14 points)

Part 1 : Equation: ( 3x - 9 ) + 30 + 24 = 180,

Part 2 : Value of x ⇒ 45°,

Part 3 : Measure of Angle U ⇒ 126°

Step-by-step explanation:

~ Part 1 ~

We know that ∑ of angles in a triangle is 180;

m∠ U + m∠ V + m∠ W = 180°,

Equation: ( 3x - 9 ) + 30 + 24 = 180

~ Part 2 ~

Now let us simplify the equation above to solve for x;

3x - 9 + 30 + 24 = 180,

3x - 9 = 126,

3x = 135,

x = 45 degrees ( ° ) ⇒

Value of x ⇒ 45°

~ Part 3 ~

If it is known that m∠ U ⇒ 3x - 9;

m∠ U = 3 * ( 45 ) - 9,

m∠ U = 135 - 9,

m∠ U = 126 degrees ( ° ) ⇒

Measure of Angle U ⇒ 126°

r(0,90)(x,y) . t(-5,0)

last option

step-by-step explanation:

∆def to ∆d"e"f"

- rotate 90 counterclockwise degrees

- then translated 5 to the left (x --> x - 5)

answer is the last option