The diagram shows two parallel lines and a transversal if the measure of two is 47 what is the measure of three?
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Answer:
(B) 133°
Step-by-step explanation:
Given: The diagram shows two parallel lines and a transversal if the measure of two is 47 that is ∠2=47°.
To find: The measure of ∠3.
Solution:
It is given that there are two parallel lines and transversal, then using the properties of straight lines parallel to each other and the transversal, we have
∠2=47°(Given)
⇒∠2+∠3=180°
⇒47°+∠3=180°
⇒∠3=180°-47°
⇒∠3=133°.
Thus, the measure of ∠3 is 133°.
Therefore, option (B) is correct