The sum of the measures of the complement and the supplement of a base angle of an isosceles triangle is 206°. What is the measure of the vertex angle of the triangle?

Question

anonymous · Answer

26 degree

anonymous · Answer

hmm thats one of the answer choices that im given

anonymous · Answer

Let base angles be x
so compliment of that angle is 90-x
and supplement of that angle is 180-x.
So 180-x+90-x=206
360-2x=206
-2x=206-360
-2x=-154
x=-154/-2=77
2x+ vertex angle = 180
154+vertex angle =180
vertex angle = 26

anonymous · Answer

Oh sorry 180+90 is 270. I typed 360. Sorry

anonymous · Answer

Thank you
heres another question i need help with
what is the value of x in the figure below?|dw:1322449510417:dw|

anonymous · Answer

|dw:1322449778908:dw|