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Mathematics 11 Online
OpenStudy (anonymous):

Which angle has the greater measure?

OpenStudy (anonymous):

OpenStudy (mathstudent55):

Is there any more given information?

OpenStudy (anonymous):

no that it

OpenStudy (mathstudent55):

In general, geometry figures are not drawn to scale. It's not possible to determine measures of angles just from looking at a figure.

OpenStudy (raffle_snaffle):

Is there a reference point? We looking at this in the x and y plane?

OpenStudy (anonymous):

no that it

OpenStudy (mathstudent55):

On the other hand, there is this theorem: The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.

OpenStudy (anonymous):

with out more information it is too difficult to tell, but for sure we know that angles B and C will always be greater than the angles adjacent to them, A and D. otherwise the shape would no longer be a triangle B and C, final answer

OpenStudy (anonymous):

ok thanks

OpenStudy (anonymous):

oh haha I said those angles backwards. A and D are certainly larger than B and C. my bad ^_^

OpenStudy (mathstudent55):

From that theorem we can tell that: m<A > m<C m<A > m<E m<D > m<B m<D > m<E m<F > m<C m<F > m<B

OpenStudy (anonymous):

the answers <a <e <c The angles are congruent

OpenStudy (mathstudent55):

With these choices, look at my list of inequalities above.

OpenStudy (raffle_snaffle):

I would say a

OpenStudy (anonymous):

if those are the choices then A would be my pick, do you see why tho?

OpenStudy (anonymous):

yes because it adjacent

OpenStudy (mathstudent55):

<A is an exterior angle. Angles C and E are its remote interior angles. Since m<A = m<C + m<E, that means that m<A > m<C and m<A > m<E. The correct answer is choice A, <A

OpenStudy (anonymous):

I would say angle a because angle a is obtuse and angle c and e are acute

OpenStudy (mathstudent55):

@kelliegirl33 You can't conclude that from a drawing in a geometry problem.

OpenStudy (anonymous):

my bad...thats just what it looked like to me from the drawing

OpenStudy (mathstudent55):

Yes, you are correct that the drawing looks like it, but in general, drawings in geometry problems are not drawn to scale. You can only draw conclusions from stated given information, definitions, postulates, and theorems.

OpenStudy (anonymous):

got it...thanks for straightening me out :)

OpenStudy (mathstudent55):

You're welcome.

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