Respuesta :
Answer:
The resulting acute angles are 35 degrees each.
Step-by-step explanation:
As given, the carpenter intersects two pieces of wood to make two sets of vertical angles. The resulting obtuse angles formed are each 145°.
So, the acute angles can be given by the following formula:
[tex]\frac{360-2(145)}{2}[/tex]
= [tex]\frac{360-290}{2}[/tex]
= [tex]\frac{70}{2}=35[/tex]
Hence, the resulting acute angles are 35 degrees each.
We can also check by adding both the obtuse angles and acute angles. The sum will be 360 degrees.
[tex]145+145+35+35=360[/tex] degrees.
