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 2.8, Problem 9PSB
To determine

One given angle is supplementary to another given angle

Expert Solution & Answer
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Answer to Problem 9PSB

  2 is supplement to 3 

Explanation of Solution

Given information :

  1 is congruent to 3

Formula used:

Congruency means same size and same shape as per the definition of congruency

One angle is said to be supplementary to other, if sum of both the angles is equal to 180°

Sum of the angles formed on one side of line is 180°

Proof:

Since,

  1  3......(given) 1 = 3........(i)  (same shape and same size, as per definition of congruency)

And as per figure,

  1 + 2=180°    

Therefore, they are the only angles on same side of the straight line.

  1 & 2 are supplementary angles                (because their sum is equal to 180°)3 & 2 are supplementary angles                (because from(i),1 = 3)Thus, 2 is supplementary to 3 

Hence, Proved.

Chapter 2 Solutions

Geometry For Enjoyment And Challenge

Ch. 2.1 - Prob. 11PSBCh. 2.1 - Prob. 12PSBCh. 2.1 - Prob. 13PSBCh. 2.1 - Prob. 14PSCCh. 2.1 - Prob. 15PSCCh. 2.2 - Prob. 1PSACh. 2.2 - Prob. 2PSACh. 2.2 - Prob. 3PSACh. 2.2 - Prob. 4PSACh. 2.2 - Prob. 5PSACh. 2.2 - Prob. 6PSACh. 2.2 - Prob. 7PSACh. 2.2 - Prob. 8PSACh. 2.2 - Prob. 9PSACh. 2.2 - Prob. 10PSACh. 2.2 - Prob. 11PSACh. 2.2 - Prob. 12PSBCh. 2.2 - Prob. 13PSBCh. 2.2 - Prob. 14PSBCh. 2.2 - Prob. 15PSBCh. 2.2 - Prob. 16PSBCh. 2.2 - Prob. 17PSBCh. 2.2 - Prob. 18PSBCh. 2.2 - Prob. 19PSBCh. 2.2 - Prob. 20PSBCh. 2.2 - Prob. 21PSBCh. 2.2 - Prob. 22PSBCh. 2.2 - Prob. 23PSBCh. 2.2 - Prob. 24PSBCh. 2.2 - Prob. 25PSCCh. 2.2 - Prob. 26PSCCh. 2.3 - Prob. 1PSACh. 2.3 - Prob. 2PSACh. 2.3 - Prob. 3PSACh. 2.3 - Prob. 4PSACh. 2.3 - Prob. 5PSACh. 2.3 - Prob. 6PSACh. 2.3 - Prob. 7PSACh. 2.3 - Prob. 8PSACh. 2.3 - Prob. 9PSBCh. 2.3 - Prob. 10PSBCh. 2.3 - Prob. 11PSBCh. 2.3 - Prob. 12PSBCh. 2.3 - Prob. 13PSCCh. 2.3 - Prob. 14PSCCh. 2.4 - Prob. 1PSACh. 2.4 - Prob. 2PSACh. 2.4 - Prob. 3PSACh. 2.4 - Prob. 4PSACh. 2.4 - Prob. 5PSACh. 2.4 - Prob. 6PSACh. 2.4 - Prob. 7PSACh. 2.4 - Prob. 8PSACh. 2.4 - Prob. 9PSACh. 2.4 - Prob. 10PSBCh. 2.4 - Prob. 11PSBCh. 2.4 - Prob. 12PSBCh. 2.4 - Prob. 13PSBCh. 2.4 - Prob. 14PSBCh. 2.4 - Prob. 15PSBCh. 2.4 - Prob. 16PSBCh. 2.4 - Prob. 17PSBCh. 2.4 - Prob. 18PSBCh. 2.4 - Prob. 19PSBCh. 2.4 - Prob. 20PSCCh. 2.4 - Prob. 21PSCCh. 2.5 - Prob. 1PSACh. 2.5 - Prob. 2PSACh. 2.5 - Prob. 3PSACh. 2.5 - Prob. 4PSACh. 2.5 - Prob. 5PSACh. 2.5 - Prob. 6PSACh. 2.5 - Prob. 7PSACh. 2.5 - Prob. 8PSACh. 2.5 - Prob. 9PSACh. 2.5 - Prob. 10PSACh. 2.5 - Prob. 11PSBCh. 2.5 - Prob. 12PSBCh. 2.5 - Prob. 13PSBCh. 2.5 - Prob. 14PSBCh. 2.5 - Prob. 15PSBCh. 2.5 - Prob. 16PSBCh. 2.5 - Prob. 17PSCCh. 2.5 - Prob. 18PSCCh. 2.5 - Prob. 19PSCCh. 2.6 - Prob. 1PSACh. 2.6 - Prob. 2PSACh. 2.6 - Prob. 3PSACh. 2.6 - Prob. 4PSACh. 2.6 - Prob. 5PSACh. 2.6 - Prob. 6PSACh. 2.6 - Prob. 7PSACh. 2.6 - Prob. 8PSACh. 2.6 - Prob. 9PSACh. 2.6 - Prob. 10PSACh. 2.6 - Prob. 11PSBCh. 2.6 - Prob. 12PSBCh. 2.6 - Prob. 13PSBCh. 2.6 - Prob. 14PSBCh. 2.6 - Prob. 15PSCCh. 2.6 - Prob. 16PSCCh. 2.7 - Prob. 1PSACh. 2.7 - Prob. 2PSACh. 2.7 - Prob. 3PSACh. 2.7 - Prob. 4PSACh. 2.7 - Prob. 5PSACh. 2.7 - Prob. 6PSACh. 2.7 - Prob. 7PSACh. 2.7 - Prob. 8PSACh. 2.7 - Prob. 9PSACh. 2.7 - Prob. 10PSBCh. 2.7 - Prob. 11PSBCh. 2.7 - Prob. 12PSBCh. 2.7 - Prob. 13PSBCh. 2.7 - Prob. 14PSBCh. 2.7 - Prob. 15PSBCh. 2.7 - Prob. 16PSCCh. 2.7 - Prob. 17PSCCh. 2.7 - Prob. 18PSDCh. 2.7 - Prob. 19PSDCh. 2.7 - Prob. 20PSDCh. 2.8 - Prob. 1PSACh. 2.8 - Prob. 2PSACh. 2.8 - Prob. 3PSACh. 2.8 - Prob. 4PSACh. 2.8 - Prob. 5PSACh. 2.8 - Prob. 6PSACh. 2.8 - Prob. 7PSACh. 2.8 - Prob. 8PSACh. 2.8 - Prob. 9PSBCh. 2.8 - Prob. 10PSBCh. 2.8 - Prob. 11PSBCh. 2.8 - Prob. 12PSBCh. 2.8 - Prob. 13PSBCh. 2.8 - Prob. 14PSBCh. 2.8 - Prob. 15PSCCh. 2 - Prob. 1RPCh. 2 - Prob. 2RPCh. 2 - Prob. 3RPCh. 2 - Prob. 4RPCh. 2 - Prob. 5RPCh. 2 - Prob. 6RPCh. 2 - Prob. 7RPCh. 2 - Prob. 8RPCh. 2 - Prob. 9RPCh. 2 - Prob. 10RPCh. 2 - Prob. 11RPCh. 2 - Prob. 12RPCh. 2 - Prob. 13RPCh. 2 - Prob. 14RPCh. 2 - Prob. 15RPCh. 2 - Prob. 16RPCh. 2 - Prob. 17RPCh. 2 - Prob. 18RPCh. 2 - Prob. 19RPCh. 2 - Prob. 20RPCh. 2 - Prob. 21RPCh. 2 - Prob. 22RPCh. 2 - Prob. 23RPCh. 2 - Prob. 24RPCh. 2 - Prob. 25RPCh. 2 - Prob. 26RPCh. 2 - Prob. 27RPCh. 2 - Prob. 28RPCh. 2 - Prob. 29RPCh. 2 - Prob. 30RPCh. 2 - Prob. 31RPCh. 2 - Prob. 32RPCh. 2 - Prob. 33RPCh. 2 - Prob. 34RPCh. 2 - Prob. 35RPCh. 2 - Prob. 36RPCh. 2 - Prob. 37RPCh. 2 - Prob. 38RP
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