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 .
If all the angles of a quadrilateral are equal, it is a parallelogram .
The following statement are true and false .
If three sides of a quadrilateral are equal, it is a parallelogram .
If ABCD is a rhombus with ∠ABC = 56°, find the measure of ∠ACD.
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.
PQRS is a quadrilateral, PR and QS intersect each other at O. In which of the following case, PQRS is a parallelogram?
∠P =85°, ∠Q = 85°, ∠R = 95°
The bisectors of the angle of a parallelogram enclose a
The figure formed by joining the mid-points of the adjacent sides of a quadrilateral 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
Diagonals of a quadrilateral ABCD bisect each other. If ∠A= 45°, then ∠B =
