A carpenter is making a brace for a chair. To do so she intersects two pieces of wood to make two sets End of exam of vertical angles. The obtuse angles formed are each 145°. What is the measurement of each acute angle formed?
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:
\(\frac{360-2(145)}{2}\)
= \(\frac{360-290}{2}\)
= \(\frac{70}{2}=35\)
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.
\(145+145+35+35=360\) degrees.