Question

the diagram shows a triangle.
what is the value of ( u )?

Explanation:

Step1: Sum angles to 180°

$(u+33^\circ)+(32u+48^\circ)+(u+31^\circ)=180^\circ$

Step2: Combine like terms

$u+32u+u + 33+48+31 = 180$
$34u + 112 = 180$

Step3: Isolate variable term

$34u = 180 - 112$
$34u = 68$

Step4: Solve for u

$u = \frac{68}{34}$

Answer:

$u=2$