Question

Can someone help me work is below

Answer 1

thanks for helping me

Answer 2

I need help with this too

Answer 3

@snowflake0531
@florisalreadytaken

Answer 4

well, we can see that \( \angle C \) and \( \angle d \) form a straight angle, which is \( 180 ^\circ \)

since we have got d, just take that amount off the \( 180^\circ \) and that's it/

Answer 5

just for instance, \( D=127 \) right? so you should take that off the 180 yes?

Answer 6

yes

Answer 7

sweet!

Answer 8

Can someone explain this

Answer 9

i thought you got it

ok so for starters, a triangle's interior angles sum up to \( 180^\circ \)

you are given the top one, which is \( 75^\circ \)

then, there in the right angle of that triangle, we can see that the line continues and continues in a straight line -- that would make it a straight angle whose measure is \( 180^\circ \) as well ; since that straight angle is formed from C and D, it basically means that \( 180^\circ =C+D \) where C is the interior angle (the one we are looking for) and D is the exterior angle whose measure is \( 127^\circ \)

what you are looking to do here is to find C, so that would look like this:
\[ 180^\circ =C+D \ \ \Rightarrow \ \ 180^\circ =C+127 ^\circ \]
you can move the 127 at the left hand side, as you want to leave C by itself (you should change the operator right):
\[ 180^\circ-127 ^\circ =C \]

now lastly, back to our main thingie, we are asked to find B

well as i mentioned, a triangles interior angle sum is \( 180^\circ \) -- so to find b, just subtract the other two angles

Answer 10

thanks