Question

25 the measures of the angles in triangle uvw are shown in the diagram below. what is the value of x? a 21 b 39 c 45 d 126

Explanation:

Step1: Recall angle - sum property

The sum of the interior angles of a triangle is 180°. So, $(3x - 9)+30 + 24=180$.

Step2: Simplify the left - hand side

Combine like terms: $3x+( - 9+30 + 24)=3x + 45$. So, $3x+45 = 180$.

Step3: Isolate the variable term

Subtract 45 from both sides: $3x+45-45=180 - 45$, which gives $3x=135$.

Step4: Solve for x

Divide both sides by 3: $\frac{3x}{3}=\frac{135}{3}$, so $x = 45$.

Answer:

C. 45