Answer:
The acute angles are 35 degrees each.
Step-by-step explanation:
A carpenter intersects two pieces of wood to make two sets of vertical angles.
The vertically opposite angles are equal.
Given is - the obtuse angles formed are each 145°.
Means there will be 2 obtuse angle (145 degrees each) and 2 acute angles.
And all these 4 angles form 360 degrees.
Lets say the acute angle is = x
Calculation is as follows: (imagine moving in a circle with 4 parts.)
[tex]145+x+145+x=360[/tex]
=> [tex]290+2x=360[/tex]
=> [tex]2x=360-290[/tex]
=> [tex]2x=70[/tex]
x = 35 degrees.
Hence, the acute angles are 35 degrees each.
