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Answer:
 a)  x = 7
 b)  m∠1 = 45°
 c)  m∠2 = 135°
Step-by-step explanation:
a) Same-side interior angles are supplementary, so we have ...
 ∠1 +∠2 = 180
 (7x -4) +(20x -5) = 180
 27x = 189
 x = 7
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b) The measures of the angles can be found by substituting the value of x into the express for the angle measure.
 m∠1 = 7x -4 = 7(7) -4 = 45
 m∠1 = 45°
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c) Angle 2 is the supplement of angle 1, so ...
 m∠2 = 180° -45°
 m∠2 = 135°
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d) We used the relationship of angles at a transversal and the properties of equality.
