Question

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

Answer 1

Answer:

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°