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°. What is the measurement of each acute angle formed? A. 25° B. 35° C. 180° D. 90°

Answer 1

Your answer is B, if you add the two obtuse angles together and subtract them from 360 then divide by two, you get the 35 degrees

Answer 2

The acute angles are 35 degrees each.

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.)

`145+x+145+x=360`

=>
`290+2x=360`

=>
`2x=360-290`

=>
`2x=70`

x = 35 degrees.

Hence, the acute angles are 35 degrees each.