Question

Question down below.

Answer 1

help please

Answer 2

@phi

Answer 3

@uri

Answer 4

what do you know about the angles at point M ?

Answer 5

Thats all the information i have, and they would be equal.

Answer 6

the angles at M are "vertical angles" and are equal...

they tell you one of the angles is 42º
if we call the vertical angle V, we have V+42 + 3rd angle= 180
both triangles have V + 42 + 3rd angle = 180

what can you say about the 3rd angle ?

Answer 7

I honestly dont understand.

Answer 8

yes, that is confusing.
How about this: if 2 angles in a triangle are = to 2 angles in the other triangle, the 3rd angles are also =

say the 3 angles are a,b,c so we can say
a+b+c= 180
solve for c to find the 3rd angle is c = 180-(a+b)

in other words if we had know two of the angles are a and b, the 3rd angle must also be equal

Answer 9

but we dont know 2 angles, we know 1.

Answer 10

so they arent similar?

Answer 11

@phi

Answer 12

OOOOHH! I see. Since the verticle angles are congruent, and the other two angles are congruent, then the third must also.

Answer 13

we know 42 in both triangles
we know the vertical angles are =

Answer 14

THANK YOU!