Advertisements
Advertisements
प्रश्न
In a parallelogram ABCD, ∠D = 135°, determine the measures of ∠A and ∠B
Advertisements
उत्तर
In a parallelogram ABCD
Adjacent angles are supplementary
So, `∠`D + `∠`C =180°
135° + `∠`C =180° ⇒ `∠`C =180° -135°
`∠`C = 45°
In a parallelogram opposite sides are equal
`∠`A = ÐC = 45°
`∠`B = ÐD = 135°
APPEARS IN
संबंधित प्रश्न
The following statement are true and false.
In a parallelogram, the diagonals bisect each other.
The perimeter of a parallelogram is 22 cm. If the longer side measures 6.5 cm, what is the measure of shorter side?
If measures opposite angles of a parallelogram are (60 − x)° and (3x − 4)°, then find the measures of angles of the parallelogram.
In the given figure, ABCD and AEFG are two parallelograms. If ∠C = 58°, find ∠F.

Complete the following statement by means of one of those given in brackets against each:
Consecutive angles of a parallelogram are ...................
PQRS is a quadrilateral, PR and QS intersect each other at O. In which of the following case, PQRS is a parallelogram?
PQ = 7 cm, QR = 7 cm, RS = 8 cm, SP = 8 cm
If one angle of a parallelogram is 24° less than twice the smallest angle, then the measure of the largest angle of the parallelogram is
In a parallelogram ABCD, if ∠DAB = 75° and ∠DBC = 60°, then ∠BDC =
ABCD is a parallelogram, M is the mid-point of BD and BM bisects ∠B. Then ∠AMB =
Diagonals of a quadrilateral ABCD bisect each other. If ∠A= 45°, then ∠B =
