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
Show that if the diagonals of a quadrilateral bisect each other at right angles, then it is a rhombus.
The following statement are true and false.
In a parallelogram, the diagonals bisect each other.
The following statement are true and false .
If three sides of a quadrilateral are equal, it is a parallelogram .
The following statement are true and false .
If all the sides of a quadrilateral are equal it is a parallelogram.
In the given figure, ABCD and AEFG are two parallelograms. If ∠C = 58°, find ∠F.
PQRS is a quadrilateral, PR and QS intersect each other at O. In which of the following case, PQRS is a parallelogram?
OP = 6.5 cm, OQ = 6.5 cm, OR = 5.2 cm, OS = 5.2 cm
The bisectors of any two adjacent angles of a parallelogram intersect at
The figure formed by joining the mid-points of the adjacent sides of a rectangle is a
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
ABCD is a parallelogram, M is the mid-point of BD and BM bisects ∠B. Then ∠AMB =
