Question

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Answer 1

Answer:

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Answer 2

$\underline{\mathrm{Solution:-}}$

We know,

Sum of all the angles of a quadrilateral is 360°.

$\mathrm{Ratio \: of \: all \: \angle \:s \: are \: 2:4:5:7}$

$\mathrm{Let \: the \: \angle \: s \: be \: 2x, 4x, 5x, 7x}$

So,

$\mathrm{2x + 4x + 5x + 7x = 360°}$

$\mathrm{\implies \: 18x = 360°}$

$\mathrm{\implies x = \frac{360°}{18}}$

$\mathrm{\therefore \: x = 20°}$

So, First angle = 2 × 20° = 40°

Second angle = 4 × 20° = 80°

Third angle = 5 × 20° = 100°

Fourth angle = 7 × 20° = 140°

$\boxed{\mathrm{\mapsto \: Verification}}$

40° + 80° + 100° + 140° = 360°

The above figure is trapezium.