In the given figure ABCD is a parallelogram, angles DAB and ABC are in the ratio 5 : 7, the value of x is: 1. 105° 2. 85° 3. 75° 4. none of these

As we know that the consecutive angles of a parallelogram are supplementary. Let ∠DAB = 5a and ∠ABC = 7a. Since consecutive angles are supplementary: ⇒ ∠DAB \+ ∠ABC = 180° ⇒ 5a \+ 7a = 180° ⇒ 12a = 180° ⇒ a = ⇒ a = 15° Then, ∠ABC = 7a = 7 15° = 105° The other angle x, x \+ ∠ABC = 180° ⇒ x \+ 105° = 180° ⇒ x = 180° \- 105° ⇒ x = 75° Hence, option 3 is the correct option.

ABCD is a rectangle. To make it a square which of the following condition(s) must be satisfied:
AC = BD
AC ⊥ BD
Diagonals bisect each other
AB = CD

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In quadrilateral ABCD, AB//DC, then:
∠A + ∠B = 180°
∠A + ∠C = 180°
∠C + ∠D = 180°
∠A + ∠D = 180°

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The diagonals of a quadrilateral are equal and bisect each other. The quadrilateral is a :
square
rhombus
parallelogram
rectangle

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A quadrilateral will be a square, if its:
each angle is 90°
each angle is 90° and the diagonals are equal
all the sides are equal
all the sides are equal and each angle is 90°

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Mathematics

In the given figure ABCD is a parallelogram, angles DAB and ABC are in the ratio 5 : 7, the value of x is:
105°
85°
75°
none of these

Quadrilaterals

Related Questions

ABCD is a rectangle. To make it a square which of the following condition(s) must be satisfied:
AC = BD
AC ⊥ BD
Diagonals bisect each other
AB = CD

In quadrilateral ABCD, AB//DC, then:
∠A + ∠B = 180°
∠A + ∠C = 180°
∠C + ∠D = 180°
∠A + ∠D = 180°

The diagonals of a quadrilateral are equal and bisect each other. The quadrilateral is a :
square
rhombus
parallelogram
rectangle

A quadrilateral will be a square, if its:
each angle is 90°
each angle is 90° and the diagonals are equal
all the sides are equal
all the sides are equal and each angle is 90°

Mathematics

In the given figure ABCD is a parallelogram, angles DAB and ABC are in the ratio 5 : 7, the value of x is:105°85°75°none of these

Quadrilaterals

Related Questions

ABCD is a rectangle. To make it a square which of the following condition(s) must be satisfied:AC = BDAC ⊥ BDDiagonals bisect each otherAB = CD

In quadrilateral ABCD, AB//DC, then:∠A + ∠B = 180°∠A + ∠C = 180°∠C + ∠D = 180°∠A + ∠D = 180°

The diagonals of a quadrilateral are equal and bisect each other. The quadrilateral is a :squarerhombusparallelogramrectangle

A quadrilateral will be a square, if its:each angle is 90°each angle is 90° and the diagonals are equalall the sides are equalall the sides are equal and each angle is 90°

In the given figure ABCD is a parallelogram, angles DAB and ABC are in the ratio 5 : 7, the value of x is:
105°
85°
75°
none of these

ABCD is a rectangle. To make it a square which of the following condition(s) must be satisfied:
AC = BD
AC ⊥ BD
Diagonals bisect each other
AB = CD

In quadrilateral ABCD, AB//DC, then:
∠A + ∠B = 180°
∠A + ∠C = 180°
∠C + ∠D = 180°
∠A + ∠D = 180°

The diagonals of a quadrilateral are equal and bisect each other. The quadrilateral is a :
square
rhombus
parallelogram
rectangle

A quadrilateral will be a square, if its:
each angle is 90°
each angle is 90° and the diagonals are equal
all the sides are equal
all the sides are equal and each angle is 90°