Answer:
x = 34°
Step-by-step explanation:
To find the value of x, we can subtract all the known angles from the total 360.
A straight angle is 180°. So, we can take this off from 360° for a remaining half of 180°.
Now, we only have the top half of the diagram. From this 180°, we know there is 100°, so we can subtract 100° from 180° for a remaining 80°. This means that (x + 12) plus x is equal to 80°.
We will subtract 12° from 80°, for 68°. x + x = 68°. Divide this remaining value to find the value of x by itself. [tex]\frac{68}{2}[/tex] = 34.
x = 34°
Check this by adding together (34 +12), 100, and 34.
34 + 12 + 100 + 34 = 180
We can be sure this is correct.
So, the answer is x = 34°.
I hope this helps ^^
