Advertisements
Advertisements
Question
If bisectors of ∠A and ∠B of a quadrilateral ABCD meet at O, then ∠AOB is
Options
∠C + ∠D
`1/2 (∠"C" + ∠"D")`
`1/2 ∠"C" + 1/3 ∠"D"`
`1/3 ∠"C" + 1/2 ∠"D"`
Solution
If bisectors of ∠A and ∠B of a quadrilateral ABCD meet at O, then ∠AOB is `1/2 (∠"C" + ∠"D")`
APPEARS IN
RELATED QUESTIONS
Which of the following figures lie on the same base and between the same parallels. In such a case, write the common base and the two parallels.
In the below figure, compute the area of quadrilateral ABCD.
In the below figure, PQRS is a square and T and U are respectively, the mid-points of PS
and QR. Find the area of ΔOTS if PQ = 8 cm.
In the below fig. ABCD is a trapezium in which AB || DC. Prove that ar (ΔAOD) =
ar(ΔBOC).
In Fig. below, CD || AE and CY || BA.
(i) Name a triangle equal in area of ΔCBX
(ii) Prove that ar (Δ ZDE) = ar (ΔCZA)
(iii) Prove that ar (BCZY) = ar (Δ EDZ)
In the below fig. ABCD is a trapezium in which AB || DC and DC = 40 cm and AB = 60
cm. If X and Y are respectively, the mid-points of AD and BC, prove that:
(i) XY = 50 cm
(ii) DCYX is a trapezium
(iii) ar (trap. DCYX) =`9/11`ar (trap. (XYBA))
In the below figure, ABCD is parallelogram. O is any point on AC. PQ || AB and LM ||
AD. Prove that ar (||gm DLOP) = ar (||gm BMOQ)
In the following figure, if parallelogram ABCD and rectangle ABEM are of equal area, then ______.
ABCD is a quadrilateral whose diagonal AC divides it into two parts, equal in area, then ABCD ______.
