In a quadrilateral ABCD- - A-90- - B-3 x- - C-3 x-5- - D-8 x-15- Then the value of - D is

The correct option is D Since the sum of interior angles of a quadrilateral is 360^∘, 90+3x+3x+5+8x 15 = 360 90+14x 10=360 14x=360 80 = 280 x = 20 Then ...

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Standard VIII

Mathematics

Quadrilaterals

In a quadrila...

Question

In a quadrilateral ABCD, $∠ A = 90^{\circ}, ∠ B = 3 x, ∠ C = 3 x + 5, ∠ D = 8 x - 15$ . Then the value of $∠ D$ is

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Solution

The correct option is D

Since the sum of interior angles of a quadrilateral is $360^{\circ}$ ,
$90 + 3 x + 3 x + 5 + 8 x - 15 = 360 90 + 14 x - 10 = 360 14 x = 360 - 80 = 280 x = 20 T h e n ∠ D = 8 x - 15 = 8 (20) - 15 = 160 - 15 = 145^{\circ}$

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In a quadrilateral ABCD, ∠A=90∘, ∠B=3x, ∠C=3x+5, ∠D=8x−15. Then the value of ∠D is

The correct option is D Since the sum of interior angles of a quadrilateral is 360∘, 90+3x+3x+5+8x−15=36090+14x−10=36014x=360−80=280x=20Then ∠D=8x−15=8(20)−15=160−15=145∘

In a quadrilateral ABCD, $∠ A = 90^{\circ}, ∠ B = 3 x, ∠ C = 3 x + 5, ∠ D = 8 x - 15$ . Then the value of $∠ D$ is

The correct option is D

Since the sum of interior angles of a quadrilateral is $360^{\circ}$ ,
$90 + 3 x + 3 x + 5 + 8 x - 15 = 360 90 + 14 x - 10 = 360 14 x = 360 - 80 = 280 x = 20 T h e n ∠ D = 8 x - 15 = 8 (20) - 15 = 160 - 15 = 145^{\circ}$