Answer
$x=4^\circ$
The two angles are:
$3\times 4^\circ+134^\circ=146^\circ$
$6\times4^\circ+10^\circ=34^\circ$
Work Step by Step
The two given angles form a straight angle, which means that their sum is $180^\circ$.
$3x+134^\circ+6x+10^\circ=180^\circ$
$9x+144^\circ=180^\circ$
$9x=36^\circ$
$x=4^\circ$
The two angles are:
$3\times 4^\circ+134^\circ=146^\circ$
$6\times4^\circ+10^\circ=34^\circ$