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A figure with parallel lines m and n is shown below. What is the measure of angle b?

A Figure With Parallel Lines M And N Is Shown Below What Is The Measure Of Angle B class=

Sagot :

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Answer:

42°

Step-by-step explanation:

  • Measures of the two interior angles of the triangle are b and 90°
  • Measure of the remaining interior angle of the triangle will be 48° by the property of first corresponding angles and then vertical angles.

[tex]\therefore b + 48 \degree + 90 \degree = 180 \degree \\ b + 138 \degree = 180 \degree\\ b = 180 \degree - 138 \degree \\ b = 42 \degree [/tex]

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