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Amar Kumar 8 years, 6 months ago
Given that two opposite angles of a parallelogram are (3x − 2) and (50 − x) in degrees
we know that opposite angles of a parallelogram are equal.
Hence (3x − 2) = (50 − x)
⇒ 3x + x = 50 + 2 ⇒ 4x = 52
x = 13 (3x − 2) = [3(13) − 2]= [39 − 2]= 37º
Sum of adjacent angles is 180º
Hence other two equal opposite angles = 180º − 37º = 143°
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Amar Kumar 8 years, 6 months ago
{tex}% MathType!MTEF!2!1!+- % feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGceaqabeaacaWGbb % Gaeyypa0ZaaSaaaeaadaGcaaqaaiaaiodaaSqabaaakeaacaaI0aaa % aiaadggadaahaaWcbeqaaiaaikdaaaaakeaacaaI2aGaaGinaiabg2 % da9maalaaabaWaaOaaaeaacaaIZaaaleqaaaGcbaGaaGinaaaacaWG % HbWaaWbaaSqabeaacaaIYaaaaaGcbaGaamyyaiabg2da9iaaigdaca % aIYaGaaiOlaiaaigdacaaI1aGaamyBaaqaaiaadchacqGH9aqpcaaI % ZaGaey41aqRaamyyaaqaaiaadchacqGH9aqpcaaIZaGaaGOnaiaac6 % cacaaI1aGaamyBaaaaaa!5373! \eqalign{ & A = {{\sqrt 3 } \over 4}{a^2} \cr & 64 = {{\sqrt 3 } \over 4}{a^2} \cr & a = 12.15m \cr & p = 3 \times a \cr & p = 36.5m \cr} {/tex}
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