- #1
Yura
- 39
- 0
grade 10, angle problem (geometry).
find values of angles a, b and c in order
http://img151.imageshack.us/img151/4662/trigproblemyn1.th.jpg
the two lines withthe arrows drawn on them are parallel
the center is at where the 94 degree angle forms
none
side note though: this is from a textbook for grade 10 students in a section under the angluar rules (like in the diagram, you can tell that angle b and angle c are the same because those two lines are parallel)
okay, i tried but i didnt get too far because i kept sending myself into loops and winding where everything canceled out to be something like 180 = 180.
i based my work off of the general rules for working with angles:
a + b + 94 = 180
a = 86 - b
b = c
from there i tried extending the line from a through the center (which is at the 94 degree angle) and intersecting it with the parallel line coming from the angle c. i got an equation for that but it was the exact same as the very first equation i had so subbing in b = c, gave me no values for any of the angles.
then from the extended line i reied looking at the quadraliteral formed and using the "all interior angles in a quaderalideral sum to give 360" rule but that gave me the sum of:
[180 - b] + c + [180 - 94] + 94 = 360 (angles reading left to right)
but subbing in b = c, again canceled out all the variables leaving me with no answer once more.
i tried drawing a third chord (from a across to the other side of the line coming from angle c) to form a triangle but that led me nowhere also.
i think I am thinking too deeply into to, it might not need the that much thought, but i can't see it any other way. (i even tried drawing in a line to half the "a b 94" triangle, it didnt work either)
im actually a little depressed now, because my little sister was the one who asked me to help her with that problem >< and i couldn't do it, now i have to ask for help *sigh* I've been looking at it for ages now but i can't see how its possible to find the angles with only that much information.
there may be a rule for it but i couldn't find one in the textbook and there were no answers because it was a challenge problem.
if anyone could help me out here i would really appreciate it. thanks in advance.
Homework Statement
find values of angles a, b and c in order
http://img151.imageshack.us/img151/4662/trigproblemyn1.th.jpg
the two lines withthe arrows drawn on them are parallel
the center is at where the 94 degree angle forms
Homework Equations
none
side note though: this is from a textbook for grade 10 students in a section under the angluar rules (like in the diagram, you can tell that angle b and angle c are the same because those two lines are parallel)
The Attempt at a Solution
okay, i tried but i didnt get too far because i kept sending myself into loops and winding where everything canceled out to be something like 180 = 180.
i based my work off of the general rules for working with angles:
a + b + 94 = 180
a = 86 - b
b = c
from there i tried extending the line from a through the center (which is at the 94 degree angle) and intersecting it with the parallel line coming from the angle c. i got an equation for that but it was the exact same as the very first equation i had so subbing in b = c, gave me no values for any of the angles.
then from the extended line i reied looking at the quadraliteral formed and using the "all interior angles in a quaderalideral sum to give 360" rule but that gave me the sum of:
[180 - b] + c + [180 - 94] + 94 = 360 (angles reading left to right)
but subbing in b = c, again canceled out all the variables leaving me with no answer once more.
i tried drawing a third chord (from a across to the other side of the line coming from angle c) to form a triangle but that led me nowhere also.
i think I am thinking too deeply into to, it might not need the that much thought, but i can't see it any other way. (i even tried drawing in a line to half the "a b 94" triangle, it didnt work either)
im actually a little depressed now, because my little sister was the one who asked me to help her with that problem >< and i couldn't do it, now i have to ask for help *sigh* I've been looking at it for ages now but i can't see how its possible to find the angles with only that much information.
there may be a rule for it but i couldn't find one in the textbook and there were no answers because it was a challenge problem.
if anyone could help me out here i would really appreciate it. thanks in advance.
Last edited by a moderator: