If the interior angles of a pentagen measure x- x-10- x-20- 2x-44- and 2x-70- then x - -

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Standard VI

Mathematics

Quadrilateral

If the interi...

Question

If the interior angles of a pentagen measure x⁰, (x-10)⁰, (x+20)⁰, (2x-44)⁰ and (2x-70)⁰, then x = ___ .

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Solution

Sum of interior angles of a n sided polygon = (n - 2) x 180°

A pentagon has 5 sides.

Sum of interior angles of a pentagon = 3*180⁰ = 540⁰

(x + x - 10 + x + 20 + 2x - 44 + 2x - 70) = 540⁰

(7x - 104⁰) = 540⁰

7x = 644⁰

x = 92°

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If the interior angles of a pentagen measure x⁰, (x-10)⁰, (x+20)⁰, (2x-44)⁰ and (2x-70)⁰, then x = ___ .

Sum of interior angles of a n sided polygon = (n - 2) x 180° A pentagon has 5 sides. Sum of interior angles of a pentagon = 3*180⁰ = 540⁰ (x + x - 10 + x + 20 + 2x - 44 + 2x - 70) = 540⁰ (7x - 104⁰) = 540⁰ 7x = 644⁰ x = 92°

Sum of interior angles of a n sided polygon = (n - 2) x 180°

A pentagon has 5 sides.

Sum of interior angles of a pentagon = 3*180⁰ = 540⁰

(x + x - 10 + x + 20 + 2x - 44 + 2x - 70) = 540⁰

(7x - 104⁰) = 540⁰

7x = 644⁰

x = 92°