The opposite angles of a parallelogram are 3x-2- and x-48- What is the value of x-

In a parallelogram, opposite angles are equal. ∴ (3x 2)^∘ = (x + 48)^∘ ⇒ 3x x = 48^∘ + 2^∘ ⇒ 2 x = 50^∘ ⇒ x nbsp; = 50/2 ∴ x = 25° Hence, the required v ...

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Standard IX

Mathematics

Angle Sum Property of a Quadrilateral

The opposite ...

Question

The opposite angles of a parallelogram are $(3 x - 2)^{\circ}$ and $(x + 48)^{\circ}$ . What is the value of $x$ ?
25

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Solution

The correct option is A 25
In a parallelogram, opposite angles are equal.

$∴ (3 x - 2)^{\circ} = (x + 48)^{\circ} \Rightarrow 3 x - x = 48^{\circ} + 2^{\circ} \Rightarrow 2 x = 50^{\circ} \Rightarrow x = \frac{50}{2} ∴ x = 25 °$

$Hence, the required value of x is 25^{\circ} .$

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The opposite angles of a parallelogram are (3x−2)∘ and (x+48)∘. What is the value of x?25

The correct option is A 25In a parallelogram, opposite angles are equal. ∴(3x−2)∘=(x+48)∘⇒3x−x=48∘+2∘⇒2x=50∘⇒x=502∴x=25° Hence, the required value of x is 25∘.

The opposite angles of a parallelogram are $(3 x - 2)^{\circ}$ and $(x + 48)^{\circ}$ . What is the value of $x$ ?
25

The correct option is A 25
In a parallelogram, opposite angles are equal.

$∴ (3 x - 2)^{\circ} = (x + 48)^{\circ} \Rightarrow 3 x - x = 48^{\circ} + 2^{\circ} \Rightarrow 2 x = 50^{\circ} \Rightarrow x = \frac{50}{2} ∴ x = 25 °$

$Hence, the required value of x is 25^{\circ} .$