5. Two adjacent angles of a parallelogram are (3x − 4)° and (3x+ 10)°. Find the angles of the parallelogram.
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We know that in parallelogram, sum of adjacent angles is 180
o
∴ (3x−4)
o
+(3x+10)
o
=180
o
⇒ 3x−4+3x+10=180
o
⇒ 6x−6=180
o
⇒ 6x=174
o
⇒ x=
6
174
o
⇒ x=29
o
.
⇒ (3x−4)
o
=(3×29−4)
o
=83
o
⇒ (3x+10)
o
=(3×29+10)
o
=97
o
We know that, in parallelogram opposite angles are equal.
∴ Four angles of parallelogram are 83
o
,97
o
,83
o
and 97
o
.
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