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  • 31-03-2022
  • Mathematics
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The diagram shown is two intersecting lines. The measure of 5 is 47°.

The diagram shown is two intersecting lines The measure of 5 is 47 class=

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pbab pbab
  • 31-03-2022

Answer:

a) 37º

b) 143º

c) 2x - 5 = 143

Step-by-step explanation:

a) Angles 5 and 7 are vertical angles and therefore have the same measurements.

b) Angles 5 and 6 form a straight line and are therefore supplementary (add up to 180º). 180 - 37 = 143.

c) We found the measure of angle 6 is 143º in part b. We can set that equal to 2x - 5. Therefore the equation is 2x - 5 = 143.

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