Advertisements
Advertisements
प्रश्न
In the following figures, find the remaining angles of the parallelogram
Advertisements
उत्तर
∠PQR + 65° = 180° ....(Linear pair angles)
⇒ ∠PQR = 115°
PQRS is a parallelogram.
∠S = ∠Q = ∠115° ....(Opposite angles of a parallelogram are equal)
And, ∠P + ∠S = 180° ....(Interior angles)
⇒ ∠P + 115° = 180°
⇒ ∠P = 65°
⇒ ∠R = ∠P = 65° ....(Opposite angles of a parallelogram are equal)
Thus, we have
∠P = 65°, ∠Q = 115°, ∠R = 65° and ∠S = 115°.
APPEARS IN
संबंधित प्रश्न
In the following figure, ABCD and PQRS are two parallelograms such that ∠D = 120° and ∠Q = 70°.
Find the value of x.
In case of a parallelogram
prove that:
(i) The bisectors of any two adjacent angles intersect at 90o.
(ii) The bisectors of the opposite angles are parallel to each other.
In the given figure, AP is the bisector of ∠A and CQ is the bisector of ∠C of parallelogram ABCD. 
Prove that APCQ is a parallelogram.
In the following figures, find the remaining angles of the parallelogram
In the following figures, find the remaining angles of the parallelogram
In the following figures, find the remaining angles of the parallelogram
The angles of a triangle formed by 2 adjacent sides and a diagonal of a parallelogram are in the ratio 1 : 5 : 3. Calculate the measures of all the angles of the parallelogram.
PQR is a triangle formed by the adjacent sides PQ and QR and diagonal PR of a parallelogram PQRS. If in ΔPQR, ∠P : ∠Q : ∠R = 3 : 8 : 4, Calculate the measures of all the angles of parallelogram PQRS.
The sum of adjacent angles of a parallelogram is ______.
In the given parallelogram YOUR, ∠RUO = 120° and OY is extended to point S such that ∠SRY = 50°. Find ∠YSR.
