MHB Finding m<2 When m<1 & m<2 are Given

Thread starter bernardl
Start date Aug 28, 2016

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SUMMARY

The discussion focuses on solving for the measure of angle m<2 when given the expressions for m<1 and m<2 as m<1 = 17x + 1 and m<2 = 20x - 14. Since m<1 and m<2 are vertical angles, they are equal, leading to the equation 17x + 1 = 20x - 14. By solving for x, the value is substituted back into either expression to find the measure of m<2 definitively.

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Understanding of vertical angles and their properties
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Familiarity with angle measurement concepts
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Aug 28, 2016

bernardl

<1 and <2 are vertical angles. If m<1 = 17x + 1 and m<2 = 20x - 14, find m<2.

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Aug 28, 2016

Greg

Gold Member

MHB

As vertical angles have the same measure, set 17x + 1 = 20x - 14, solve for x and substitute that value for x into the expression for angle 2 (or angle 1 if you prefer; they both have the same measure). The result is the desired measure.