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GEOMETRY
10. What is the value of x?
Diagram below
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OpenStudy (anonymous):
OpenStudy (compassionate):
Hello , since the ratios on either side are both 21, and are equal, point x and the other unknown angle will have the same measurement. What two products x + x + 38 will equal 180?
OpenStudy (anonymous):
I got x = 71
undeadknight26 (undeadknight26):
i got 100...i must have went wrong somewhere...
OpenStudy (anonymous):
no it was probably me ... Im so confused
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OpenStudy (phi):
you know the two base angles (labeled x) are equal because you have an isosceles triangle.
the three angles add up to 180
x+x+ 38= 180
1 x plus another x is 2x , so this is the same as
2x+38=180
add -38 to both sides
what do you get ?
OpenStudy (anonymous):
2x = 142 is what I got
OpenStudy (phi):
now divide both sides by 2 to find x
OpenStudy (anonymous):
So the awnser is x= 71 ? @phi
OpenStudy (phi):
yes
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OpenStudy (anonymous):
Thank you
OpenStudy (anonymous):
I have one more question. Is anyone willing to help?