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About Scott A Wilson
Expertise
Whatever questions you ask except how to trisect an angle.

Experience
I have been assisting people in Geometry since the 80's.

Education/Credentials
MS at Oregon State, BS at Oregon State

Awards and Honors
I was the outstanding student in high school in the area of geometry and math in general.

Past/Present Clients
Around 3000 people, mostly in math, with almost two dozen in geometry.

 
   

You are here:  Experts > Science > Math for Kids > Geometry > geometry

Geometry - geometry


Expert: Scott A Wilson - 11/5/2009

Question
The measure of an angle is 3 times as great as its compliment. Which is measure of smaller angle? 22.5, 27.5, 63.5, or 67.5

Answer
The measure of the angle is X.

The angles compliment is 90°-X.

The problem states that X = 3(90°-X).

That works out to X = 270° - 3X.

Add 3X to both sides and you get 4X = 270°.

Divide both sides by 4 to get X = 67.5°.

The complement of 67.5° is 22.5°.

Yeah, that's in your list.


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