Advertisements
Advertisements
Question
In the following figures, find the remaining angles of the parallelogram
Advertisements
Solution
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
RELATED QUESTIONS
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
In the following figures, find the remaining angles of the parallelogram
Find the measures of all the angles of the parallelogram shown in the figure:
In the given figure, ABCD is a parallelogram, find the values of x and y.
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.
Opposite angles of a quadrilateral ABCD are equal. If AB = 4 cm, determine CD.
In parallelogram FIST, find ∠SFT, ∠OST and ∠STO.
In the given parallelogram YOUR, ∠RUO = 120° and OY is extended to point S such that ∠SRY = 50°. Find ∠YSR.
