In a quadrilateral ABCD, $∠ A = 90, ∠ B = 3 x, ∠ C = 3 x + 5 a n d ∠ D = 8 x - 15$ . Then $∠ D$ equals

65

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60

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20

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145

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Solution

The correct option is D $145$
In quadrilateral ABCD $∠ A + ∠ B + ∠ C + ∠ D = 360$
$\Rightarrow 90 + 3 x + 3 x + 5 + 8 x - 15 = 360$
$\Rightarrow 14 x = 280$
$\Rightarrow x = 20$
$∴ ∠ D = 8 \times 20 - 15 = 145$
Option D is correct.

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In a quadrilateral ABCD, ∠A=90,∠B=3x,∠C=3x+5and∠D=8x−15. Then ∠D equals

The correct option is D 145In quadrilateral ABCD ∠A+∠B+∠C+∠D=360⇒90+3x+3x+5+8x−15=360⇒14x=280 ⇒x=20 ∴∠D=8×20−15=145 Option D is correct.

In a quadrilateral ABCD, $∠ A = 90, ∠ B = 3 x, ∠ C = 3 x + 5 a n d ∠ D = 8 x - 15$ . Then $∠ D$ equals

The correct option is D $145$
In quadrilateral ABCD $∠ A + ∠ B + ∠ C + ∠ D = 360$
$\Rightarrow 90 + 3 x + 3 x + 5 + 8 x - 15 = 360$
$\Rightarrow 14 x = 280$
$\Rightarrow x = 20$
$∴ ∠ D = 8 \times 20 - 15 = 145$
Option D is correct.