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.

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step-by-step explanation:

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