Answer:
s = 11.
Step-by-step explanation:
To find the value of 's', we can first use the Supplementary Angles theorem. If '12s' is the measure of the angle outside of the triangle, the angle inside the triangle must be equivalent to '180-12s'.
Since the sum of all of the angles of the triangle must be 180°, we can set up an equation to solve for 's':
180 = 45 + 10s - 23 + 180 - 12s (Subtract both sides by 180)
Simplify:
0= 45 + 10s - 23 - 12s (Subtract both sides by 45, and add 23 to both)
-22 = 10s - 12s
-22 = -2s (Divide both sides by -2)
s = 11.
