Question

legendarynikki
According to the diagram, what would be the measure of the angles in the second triangle if the angle given measures 48 degrees?
Select one:
a. 48 and 48
b. 60 and 72
c. 90 and 132
d. Not enough information given

Answer 1

Well we can see these are similar triangles...it seems like the first one is 2 times bigger than the second *in terms of the sides* however the angles will remain the same

By solving for the third side in both cases using the law of cosines, and then using the law of sines, we can find out the angles

Answer 2

Oops sorry, *the second is twice as big as the first* everything else is fine :)

Answer 3

it not enough info right

Answer 4

Two names because one wasn't enough lel

Answer 5

And no there is enough info...@johnweldon1993 just told ye that

Answer 6

Indeed, the triangles are similar - see attachment.

Answer 7

Right, and just by using:

the law of cosines \(\large a^2 = b^2 + c^2 - 2bc\cos(A)\)
and the law of sines \(\large \frac{sin(A)}{a} = \frac{sin(B)}{b} = \frac{sin(C)}{c}\)

we can solve for what we need

Answer 8

Question: How do you know where the given angle is located?

>>if the angle given measures 48 degrees

Answer 9

Corresponding angles of similar triangles are congruent.

Do you think that of the options, any two angles that along with 48 sum to 180 would be a correct answer?

Answer 10

I would be tempted to go for this: b. 60 and 72 but I would like to see where the given angle is located.

Answer 11

I'm assuming

Answer 12

@johnweldon1993 What are you saying is the answer to the question?