Question

a carpenter is making a brace for a chair to do so she intersects two pieces of wood to make two sets of vertical angles the obtuse angles formed are each 145 degrees what is the measurement of each acute angle formed?

Answer 1

Any two lines that cross  form 2 sets of equal acute angles and 2 sets of obtuse angles. One of each will add to 180o.
 
obtuse + acute = 180
obtuse = 145
145 + acute = 180 subtract 145 from both sides.
acute = 180 - 145
acute = 35