nqb2018 nqb2018

09-08-2017
Mathematics

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in quadrilateral ABCD, if m<B=95°, m<C=100, and m<D=90°, find the measure of <A

in quadrilateral ABCD if mltB95 mltC100 and mltD90 find the measure of ltA class=

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jimthompson5910 jimthompson5910

09-08-2017

Rule: For any quadrilateral, the four angles always add to 360 degrees

A+B+C+D = 360
A+95+100+90 = 360 ... plug in the given angles
A+285 = 360
A+285-285 = 360-285 ... subtract 285 from both sides
A = 75

Answer: choice C) 75 degrees

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