two adjacent angles of a parallelogram are in the ratio 2 is to 3 find the measure of each of the angles in parallelogram pqrs find X ,y ,z and w.
Thanks in advance for those who helped me in this question.
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two adjacent angles of a parallelogram are in the ratio 2 is to 3 find the measure of each of the angles in parallelogram pqrs find X ,y ,z and w.
Thanks in advance for those who helped me in this question.
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Correct Question:
Given:
To find:
Solution:
We know that,
Sum of adjacent angles of parallelogram is 180°.
So,
In Parallelogram PQRS,
⇒ ∠QPS + ∠PSR = 180°
⇒ x + 110° = 180°
⇒x = 180° - 110°
⇒ x = 70°
Also,
We know that,
Opposite angles of a parallelogram are equal.
Therefore,
∴ ∠QPS = ∠QRS
⇒ x = y = 70°
Also,
∠PSR = ∠PQR
⇒∠PSR = z = 110°
Now,
⇒ ∠PSR + ∠PST = 180° [ Linear pair ]
⇒ 110° + w = 180°
⇒ w = 180° - 110°
⇒ w = 70°
∴ Hence, measure of angle w , x , y and z is 70° , 70° , 70° and 110° respectively.
Verified answer
PQRS is a parallelogram
We know that, sum of adjacent angles of parallelogram is 180 degree
∴ ∠QPS + ∠PSR = 180°
⇒ x + 110 degree =180°
⇒ x=70°
We know that, opposite angles of a parallelogram are equal.
∴ x = y = 70 degree and z = 110°
⇒ ∠PSR+∠PST=180°
[ Linear pair ]
⇒ 110 degree + w = 180°
⇒ w = 70°
Now,
We get x = 70°, y = 70°, z = 110°, w = 70°
Hope it helps