Answer:
Explanation:
You are sorta on the right track, but .... ∠3+81°+∠4 =180°
along with 88°+∠1=180°
∠1-92°
I know why you put 88° for ∠2 but , it's only 88° from a line parallel to that top line, not the hypotenuse of the triangle. But good idea, just not able to apply that here.
you've nicely marked the two parallel lines so we know that ∠3 will math the other 64° angle , now you can solve for ∠2
∠1=92° and ∠3=64° so ∠2 must equal 180-92-64=24°
∠2=24°
now solve for ∠4
180-64-81=∠4
∠4=35°
finally we can get ∠5
180-35-64=∠5
∠5=81°
and , we should have also seen that ∠5 would be the same as the 81° angle above it by ∠3 and ∠4 since those lines are parallel.
Hope that helps :)