Question
134. Un quadrilatero ha due angoli che misurano 136° e 82° e gli altri due sonp tra loro congruenti. Calcola le ampiezze di questi ultimi.
Ask by Li Collins.
Mar 24,2025 16:48
Upstudy AI Solution
Tutor-Verified Answer
Answer
Gli altri due angoli misurano 71° ciascuno.
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In un quadrilatero, la somma degli angoli interni è sempre \( 360^{\circ} \). Quindi, per trovare i due angoli congruenti, possiamo prima sommare i due angoli già noti: \( 136^{\circ} + 82^{\circ} = 218^{\circ} \). Ora, sottraendo questo dal totale, abbiamo \( 360^{\circ} - 218^{\circ} = 142^{\circ} \) per i due angoli congruenti. Dividendo per 2, otteniamo che ciascun angolo misura \( 71^{\circ} \).
Ecco dunque gli angoli del quadrilatero: \( 136^{\circ}, 82^{\circ}, 71^{\circ}, 71^{\circ} \). Buon lavoro!
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