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find x. image is below

Find X Image Is Below class=

Sagot :

Answer:

x=30 degrees

Step-by-step explanation:

there are 3theorems that can be used for this

vertical angle theorem: vertical angles congruent

triangle sum theorem: all angles in triangle add up to 180 degrees

straight line?? i forgot the name: a straight line is 180 degrees

refer to image attached

measure of angle BAC is 36 degrees by vertical angle theorem.

look at the angle 105 degrees. it and a unknown degree to the left equal 180 because it makes a straight line. so measure of angle BDC is 180-105 degrees. measure of angle BDC is 75 degrees

then sum of all the angles in triangle ABD is 180

36 +(39+x) +75=180 degrees

solve equation

x +150=180

x=30 degrees

hope this helps !!

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