Question

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

Explanation:

Step1: Sum triangle angles to $180^\circ$

$(u-45^\circ)+98^\circ+(u-49^\circ)=180^\circ$

Step2: Simplify left-hand side

$2u - 45^\circ + 98^\circ - 49^\circ = 180^\circ$
$2u + 4^\circ = 180^\circ$

Step3: Isolate $2u$

$2u = 180^\circ - 4^\circ$
$2u = 176^\circ$

Step4: Solve for $u$

$u = \frac{176^\circ}{2}$

Answer:

$98^\circ$