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Natasha2012 [34]
3 years ago
14

Please explain how this digraph works.

Mathematics
1 answer:
dusya [7]3 years ago
3 0

Angles XQL and MQR are congruent because they are vertical angles. So

209 - 13 <em>b</em> = 146 - 4 <em>b</em>

Solve for <em>b</em> :

209 - 13 <em>b</em> = 146 - 4 <em>b</em>

209 - 146 = 13 <em>b</em> - 4<em> b</em>

63 = 9 <em>b</em>

<em>b</em> = 63/9 = 7

Then the measure of angle XQL is

(209 - 13*7)º = 118º

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