Question

Find the measure of angle x in the figure below:

35°
48°
69°
78°

Answer 1

We must first search for the value of angle y, but the two adyacent angles wich compose a straight line are 52 and 59 degree, but that means that those three must add up to 180:
\[52+59+<y=180\]
now, try solving that for angle y

Answer 2

I need help @Owlcoffee

Answer 3

What do you need help with?

Answer 4

how to I calculate for angle y?

Answer 5

Well, it is simple, you take the expression I gave and operate it as it's necessary:
\[52+59+<y=180\]
52+59=111 so therefore:
\[111+<y=180\]
so, we sustract 111 on both sides:
\[<y=180-111\]
Wich means:
\[<y=69\]

Answer 6

oh ok

Answer 7

Now, you have to find angle "x"

Answer 8

ok

Answer 9

Is it 48? @Owlcoffee

Answer 10

Yes, you are correct.

Answer 11

Yay! Thanks!

Answer 12

anytime!