Step1: Plug in given angles
$\angle x^\circ + 75^\circ + 35^\circ = 180^\circ$
Step2: Add known angles
$\angle x^\circ + 110^\circ = 180^\circ$
Step3: Solve for first $\angle x$
$\angle x^\circ = 180^\circ - 110^\circ = 70^\circ$
Step4: Plug in second triangle angles
$\angle x^\circ + 50^\circ + 100^\circ = 180^\circ$
Step5: Add known angles
$\angle x^\circ + 150^\circ = 180^\circ$
Step6: Solve for second $\angle x$
$\angle x^\circ = 180^\circ - 150^\circ = 30^\circ$
Step7: Fill top note
Sum of triangle angles = $180^\circ$