Question

the diagram shows a triangle. what is the value of ( u )? ( u = square^circ ) submit

Explanation:

Step1: Sum angles to 180°

$$(u-46^\circ) + (u-26^\circ) + 36^\circ = 180^\circ$$

Step2: Simplify left side

$$2u - 36^\circ = 180^\circ$$

Step3: Isolate 2u term

$$2u = 180^\circ + 36^\circ$$
$$2u = 216^\circ$$

Step4: Solve for u

$$u = \frac{216^\circ}{2}$$

Answer:

$108^\circ$