Question

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 1

It's 35. 180-145=35. 

Answer 2

The resulting acute angles are 35 degrees each.

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:

`(360-2(145))/(2)`

=
`(360-290)/(2)`

=
`(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.