Find the measure of angle X in the figure below Choices: 35°, 47°, 73°, 78°

Answer:
To find angle x we must first find y
For angle y
Angles on a straight line add up to 180°
56 + 51 + y = 180
y = 180 - 56 -51
y = 73°
Now for angle x
Angles in a triangle add up to 180°
y + x + 72 = 180
y = 73°
73 + x + 72 = 180
x = 180 - 73 -72
x = 35°
Therefore angle x is 35°
Hope this helps.
First, it's worth noting that angles on a straight line sum to 180°. We can use this information to find out the value of y:
180-52-59=69
y=69°
Another rule is that the angles in a triangle sum to 180° as well. This means that we can now find out x:
63+y+x=180
63+69+x=180
180-63-69=x
x=47°