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The measure of an exterior angle of a triangle is 75 degrees. If one of the non-adjacent interior angles measures 47 degrees, what is the number of degrees in the other non-adjacent interior angle?

 Nov 29, 2020
 #1
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One angle is 47 degrees     the second angle is   180 - 75 degrees

  the third angle will be 180 degrees minus the two angles ......

 Nov 29, 2020
 #2
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We can use  the exterior angle theorem here

 

An exterior angle of a triangle = the sum of the measures of the two non-adjacent interior angles

 

So we have that

 

75 =  47  +  angle we are looking for

 

28°  =  angle we  are looking for

 

 

cool cool cool

 Nov 29, 2020

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