The answer is: " 54 ° " .
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→ The m∠2 {"measure of angle 2"} in the figure shown is: " 54 ° " .
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Explanation:
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In the figure shown in the "image attached" :
∠1 and ∠2 are "consecutive exterior angles" ;
and: "consecutive exterior angles" are "supplementary" ;
→ which means that their measurements add up to " 180° " .
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So: Given: " m∠1 = 126 " ;
We are asked to find: " m∠2 " .
→ {the measure of "angle 2" }.
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To solve:
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→ " m∠2" = 180 − ( m∠1 ) ;
= 180 − ( 126 ) ;
= 54 .
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The answer is: " 54 ° " .
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The m∠2 {"measure of angle 2"} in the figure shown is: " 54 ° " .
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