a traverse line passes through two parallel lines, what is the maximum possible probability that two angles picked from the figure will be equal
Answers
Given : a traverse line passes through two parallel lines,
To Find : the maximum possible probability that two angles picked from the figure will be equal
Solution:
Properties of angles formed by transversal line with two parallel lines :
• Corresponding angles are congruent.
• Alternate angles are congruent. ( Interiors & Exterior both )
• Co-Interior angles are supplementary. ( adds up to 180°)
a traverse line passes through two parallel lines, Then 8 angles are formed
4 angles are Equal to each other and 4 angles are equal to each other
Either both angles to be selected from one set or another set
in Total 2 angles to be selected from 8
probability that two angles picked from the figure will be equal
= (⁴C₂ + ⁴C₂)/⁸C₂
= (6 + 6) / 28
= 12/28
= 3/7
probability that two angles picked from the figure will be equal = 3/7
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Answer:
Properties of angles formed by transversal line with two parallel lines:
• Corresponding angles are congruent.
Alternate angles are congruent. (Interiors & Exterior both)
Co-Interior angles are supplementary.
(adds up to 180°)
a traverse line passes through two parallel lines, Then 8 angles are formed
4 angles are Equal to each other and 4
angles are equal to each other
Either both angles to be selected from one set or another set
in Total 2 angles to be selected from 8
probability that two angles picked from the figure will be equal
= (⁴C₂ + ⁴C₂)/³C₂
= (6 + 6) / 28
= 12/28
= 3/7
Hence,probability that two angles picked from the figure will be equal = 3/7.