Question
Measure of one of the angles of a parallelogram is twice the measure of its adjacent angle. Then angles of the parallelogram are
Answer: Option C
:
C
Let the measure of the angle be x and that of its adjacent angle be y.
x=2y...(i) (given)
x+y=180∘...(ii)
(sum of adjacent angles of a parallelogram is 180∘)
On substituting (i) in (ii), we get
2y+y=180∘
⇒y=60∘
Since x=2y,x=120∘.
We know thatopposite angles of parallelogram are equal.
⇒ Measure of the angles are60∘, 120∘, 60∘ and 120∘.
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:
C
Let the measure of the angle be x and that of its adjacent angle be y.
x=2y...(i) (given)
x+y=180∘...(ii)
(sum of adjacent angles of a parallelogram is 180∘)
On substituting (i) in (ii), we get
2y+y=180∘
⇒y=60∘
Since x=2y,x=120∘.
We know thatopposite angles of parallelogram are equal.
⇒ Measure of the angles are60∘, 120∘, 60∘ and 120∘.
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