Can anyone figure out the angle "t"...? I've been stuck on it for way too long, I have no clue what steps to do. Thank you very much

Guest Jan 29, 2018

#1**+2 **

"y" is supplemental to the 131° angle = 49°

And since the angle at the bottom left of the small triangle containing "t" is a vertical angle to "y", its measure is also 49°

And the angle supplemental to the 142° angle = 38°

So "w" in the small triangle on the bottom right = 180 - 49 - 38 = 93°

And the vertical angle to "w" in the small triangle at the top right also = 93°

So...the remaining angle in this triangle = 180 - 93 - 42 = 45°

But this angle is a vertical angle to the angle at the bottom right in the small triangle at the top

So ... "t" = 180 - 49 - 45 = 86°

CPhill
Jan 29, 2018