Advertisements
Advertisements
प्रश्न
In the following figures, find the remaining angles of the parallelogram
Advertisements
उत्तर
PQRS is a parallelogram.
∠R + ∠Q = 180° ....(Interior angles)
⇒ `x° + (x°)/(4)` = 180°
⇒ 4x° + x° = 180° x 4
⇒ 5x° = 180° x 4
⇒ x° = `(180° xx 4)/(5)`
⇒ x° = 144° = ∠R
⇒ `x°/(4) = (144°)/(4)` = 36° = ∠Q
⇒ ∠P = ∠R = 144 ....(Opposite angles of a parallelogram are equal)
∠S = ∠Q = 36°.
APPEARS IN
संबंधित प्रश्न
In a parallelogram `square`ABCD, If ∠A = (3x + 12)°, ∠B = (2x - 32)° then find the value of x and then find the measures of ∠C and ∠D.
In the following figure, ABCD and PQRS are two parallelograms such that ∠D = 120° and ∠Q = 70°.
Find the value of x.
In the following figure, ABCD is a parallelogram. 
Prove that:
(i) AP bisects angle A.
(ii) BP bisects angle B
(iii) ∠DAP + ∠BCP = ∠APB
In the following figures, find the remaining angles of the parallelogram
In a parallelogram ABCD ∠C = 98°. Find ∠A and ∠B.
The consecutive angles of a parallelogram are in the ratio 3:6. Calculate the measures of all the 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.
In the given parallelogram YOUR, ∠RUO = 120° and OY is extended to point S such that ∠SRY = 50°. Find ∠YSR.
