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Mathematics 20 Online
OpenStudy (anonymous):

can anyone help me with this question please?

OpenStudy (anonymous):

OpenStudy (anonymous):

find the vaule ofX

OpenStudy (jdoe0001):

http://www.mathsisfun.com/geometry/triangles-interactive.html <--- click on "isosceles" button to make the triangle an isosceles triangle move about any of the points, notice as you move the points, 2 sides remain equal notice what happens to the angles where those equal sides end

OpenStudy (anonymous):

They are equal right so would x be 93.5?

OpenStudy (jdoe0001):

well if the 2 legs are equal, that means|dw:1399071421117:dw|

OpenStudy (anonymous):

I have no idea i am really struggling here

OpenStudy (jdoe0001):

so the angles where they extend to, are also equal recall that all internal angles in a triangle add up to 180 degrees so \(\bf 93.5^o+E^o+D^o=180^o\implies E^o+D^o=180^o-93.5^o \\ \quad \\ E^o=D^o\qquad thus\qquad E^o+E^o=180^o-93.5^o\\ \quad \\\implies 2E^o=180^o-93.5^o E^o=\cfrac{180^o-93.5^o}{2}\)

OpenStudy (jdoe0001):

\(\bf 93.5^o+E^o+D^o=180^o\implies E^o+D^o=180^o-93.5^o \\ \quad \\ E^o=D^o\qquad thus\qquad E^o+E^o=180^o-93.5^o \\ \quad \\ \implies 2E^o=180^o-93.5^o\implies E^o=\cfrac{180^o-93.5^o}{2}\)

OpenStudy (jdoe0001):

anyhow, if you subtract the known angle from 180, you'd be left with a quantity divide that by 2, since the other 2 angles are equal, so each take half

OpenStudy (anonymous):

Thank you so much i was so confused about the two you were alot of help

OpenStudy (jdoe0001):

yw

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