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If there are two pairs of corresponding angles and a pair of corresponding opposite sides that are equal in measure, then the triangles are congruent. http://www.mathopenref.com/congruentaas.html
how do i find out angle b and c
so c is 77
and b is 13?
i am confused someone please help
@welshfella do you get it ?
first work out the measure of angle B'. Can you do that?
all angles added up must equal 160 right?
yes that is what you use to fin B'
b is 13 and c is 77
am i right?
?? B' = 180 - 50 - 97 = ?
wait do angle need to add up to 180 or 160?
= 180 - 147
b is 33
c is 97
so what do i do next
they have the same sides
so what should i write?
I guess that is the Angle Angle Similarity Postulate mentioned in the question. I never heard of that in th UK.
well those 2 angles being equal satisfies the postulate. Therefore the triangles are similar.
Corresponding angles are congruent. When the corresponding angles of two or more triangles are congruent, the triangles are similar. This is known as the Angle-Angle Similarity Postulate. Similar triangles are marked with a ~ symbol, so ΔABC ~ ΔA'B'C'. The third angles are congruent, too. Why do you think mathematicians don't call it the Angle-Angle-Angle Similarity Postulate? If two angles of a triangle are equal to two angles of another triangle, the third angles must be congruent because all triangles have a total angle measure of 180°. So putting another "Angle" in the name is unnecessary.
so how should i write my answer out?
Ok that makes sense.
what should i write for my answer
Fisrt show how you worked out that angle B' = 33. Then say angle A is congruent to angle A' because they are both 50 degrees similar thing for angle B and B' Thus triangles ABC and A'B'C' are similar because they satisfy the postulate (write that in full). And that's it.
i will write it and you proof read ok?
there's no need to find the value of angle C -, just B'
no need to mention C and C' either And write the postulate in full.
what do you mean write the the post;ate in full
If 2 angles are congruent then the 3rd must be congruent also
docent the c angle make is sound better
in the fist line angle C = 97 not 9
lol typo thx
yea OK . Leave the statements about angles C and C' in if you want to though they are not necessary. If you leave them in then leave the last sentence out.
I mean the line starting If 2 angles...
i just noticed i have to use Angle-Angle Similarity Postulate to prove this
You have . Oh one thing Instead of 'Which makes' write 'Which proves ' (in the third line)
just curious are you going to be on for a long time?
gtg its getting late over here now
and i have an early start in the morning.
good luck i forgot school starts tommorw lol