A wire 23 cm long is cut into two pieces. The longer piece is 7 cm longer than the shorter piece. Find the length of the shorter piece of wire

Length of a wire = 23 cm

Given that :

▪︎The wire was cut into two pieces.

▪︎The longer piece of wire is 7 cm longer than the shorter piece of wire.

Let the shorter piece of wire be x.

Then, the longer piece of wire = x+7

An equation that can be derived from these statements :

▪︎x + x + 7 = 23

Let us solve this equation :

Thus, the value of x = 8.

Which means :

Length of the shorter piece of wire = 8 cm

Length of the longer piece of wire = 8 + 7 = 15 cm

Since the length of the two wires add up to form 23 cm(8+15=23), we can conclude that we have found out the correct measures of each wire.

Therefore, the length of the shorter piece of wire = 8 cm

C. 55

The angle is half of the arc of the circle it cuts in the case 110/2= 55

You can prove this to yourself by knowing that all the circle arcs will always add to the full 360 of a circle, and then that the interior 3 angles of a triangle will always add to 180

So for this case 110+150+100=360
Becomes 55+75+50=180 for the triangle that would be created by the initial angle x