Question

the adjacent angles of a parellogram measures
$(3x + 8) + (10 - x)$
find the value of x .​

Answer 1

We know that in parallelogram, sum of adjacent angles is 180 °

∴ (3x−4) ° +(3x+10) ° =180 °

⇒ 3x−4+3x+10=180 °

⇒ 6x−6=180 °

⇒ 6x=174 °

⇒x=174°\6

⇒ x=29 °

⇒ (3x−4) ° =(3×29−4) ° =83 °

⇒ (3x+10) °=(3×29+10) ° =97 °

We know that, in parallelogram opposite angles are equal.

∴ Four angles of parallelogram are 83 ° ,97 ° ,83 ° and 97 °

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