Geometry For Enjoyment And Challenge
Geometry For Enjoyment And Challenge
91st Edition
ISBN: 9780866099653
Author: Richard Rhoad, George Milauskas, Robert Whipple
Publisher: McDougal Littell
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Chapter 6, Problem 18CR
To determine

To calculate: Measure of half of supplement.

Expert Solution & Answer
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Answer to Problem 18CR

Measure of half of supplement is 19.5° .

Explanation of Solution

Given information : Here, we have given that supplement of an angle exceeds three times the measure of its complement by 12 .

Formula used : Complement angles are the angles whose sum is 90° and Supplement angles are the angles whose sum is 180°

Calculation: Let the angle be x .

   Supplement = (180x)° and complement = (90x)°

Now, according to the question,

  (180x)°3(90x)°=12180°x270°+3x=122x90°=122x=(12+90)°2x=102°x=102°2x=51°

   Half of supplement of angle = 12(90x)°

  12(9051)°12×39°19.5°

Chapter 6 Solutions

Geometry For Enjoyment And Challenge

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