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 angles of quadrilateral are in the ratio 3: 5: 9: 13. Find all the angles of the quadrilateral.
The following statement are true and false .
In a parallelogram, the diagonals are equal
The following statement are true and false.
In a parallelogram, the diagonals bisect each other.
The following statement are true and false .
If all the sides of a quadrilateral are equal it is a parallelogram.
The perimeter of a parallelogram is 22 cm. If the longer side measures 6.5 cm, what is the measure of shorter side?
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 any two adjacent angles of a parallelogram intersect at
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 =
Diagonals of a quadrilateral ABCD bisect each other. If ∠A= 45°, then ∠B =
