Find the measure of angle 1.
measure of angle 1 = x
measure of angle 2 = x-6

Angle 1 has degree measurement 48.

Angle 2 has degree measurement 42.

Angle 3 has degree measurement 90 because of the little square there in that spot of angle 3.

Step-by-step explanation:

The measures of angles 1, 2 , and 3 add up to be 180 degrees because they share a common vertex laying on the line given.

Angle 3 has measurement of 90 degrees so this means angle 1 and 2 add up to be 90 degrees.

We are given the measurement of angle 1 and 2:

angle 1+ angle 2= 90

  (x)     +  (x-6)    =  90

  x      +  x-6       =  90

Add like terms:

  2x       -6         =  90

Add 6 on both sides:

 2x                   =    90+6

Simplify right hand side:

 2x                   =    96

Divide both sides by 2:

  x                   =     96/2

Simplify right hand side:

  x                   =      48

x is 48 degrees.

x-6 is 48-6=42 degrees.

Angle 1 has degree measurement 48.

Angle 2 has degree measurement 42.

ca = ec

cpctc makes it so that corresponding parts of the triangle you proved to be equal are equal, the other options aren't part of the part of the triangles you proved to be equal.

parallelogram is the   answer