IdontKnowitall IdontKnowitall
  • 10-01-2018
  • Mathematics
contestada

Given the following diagram, find the required measure. Given: l | | m m 1 = 140° m 3 = 50° m 5 = 40 50 90 140

Given the following diagram find the required measure Given l m m 1 140 m 3 50 m 5 40 50 90 140 class=

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choixongdong
choixongdong choixongdong
  • 10-01-2018
l and m are parellel
m<1 + m<5 = 180
so 
m<5 = 180 - m<1
m<5 = 180 - 140
m<5 = 40

you got it correct
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MsEHolt MsEHolt
  • 05-11-2018

Answer:

40°

Step-by-step explanation:

∠1 and ∠2 are a linear pair.  This means their measures sum to 180°, as they form a straight line.

This means m∠2 = 180-140 = 40°

Since we know that line l and line m are parallel, this means that ∠2 and ∠5 would be alternate interior angles (inside the parallel lines and on opposite sides of the transversal).  This means their measures would be equal, so m∠5 = 40°.

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