# If M is the midpoint of triangle ABC, ACB = 30degrees and BMA = 45 degrees, calculate the size of BAC in degrees.

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• paulgbrandon Jun 06, 2017

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It would be better if you send us also an image of the triangle since it's quite unclear from your message whether the midpoint is created by straight line AM or BM . anyways you can always get help from the website i get my algebra homework help

Posted on Oct 17, 2017

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30 degrees

Posted on Sep 30, 2017

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Since M is the mid point of the triangle, the distance of M from A,B and C is equal which means AM = BM = CM.
Therefore, MAB = MBA. In triangle MAB, MAB=45 degrees.
sum of angles in a triangle = 180 deg. So, sum of angles MAB and MBA = 180 - BMA = 180 -45 = 135.
Since both MAB and MBA are equal , MAB = 135/2 = 67.5
In triangle AMC, MAC = MCA . Therefore MAC = 30/2 = 15 deg.
Therefore total BAC = MAC + MAB =82.5 deg.

Posted on Sep 30, 2017

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Posted on Jan 02, 2017

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