Question

Find the value of X. Show your work.

Congruent triangle

Answer 1

Answer: x=-6

you know that the interior angles of a triangle equal 180°. so lets find the remaining angle measure

64 + 27 = 91

180 - 91 = 89

so 89 is the third interior angle of the triangle. now let's find the exterior angle.

you know that the extended angle is supplementary; which means it will equal 180° as well. so lets add the third interior angle we just found and let's add it to the unknown expression:

89 + 97 + x = 180

186 + x = 180

-186 -186

x = -6

now it might seem wrong because x is negative and it feels like it should be positive. but let's check our answer.

64+27+89 does equal 180

and 97+(-6)+89 does equal 180

i hope this helps!

Answer 2

x = 3

Explanation:

exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles

97 + x = 64 + 27

x = 97 - 64 - 27 = 6