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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.
