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Two Angles of a Hexagon Are 120° and 160°. If the Remaining Four Angles Are Equal, Find Each Equal Angle. - Mathematics

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Sum

Two angles of a hexagon are 120° and 160°. If the remaining four angles are equal, find each equal angle.

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Solution

Two angles of a hexagon are 120°, 160°

Let the remaining four angles be x, x, x and x.

Their sum = 4x + 280°

But the sum of all the interior angles of a hexagon

= (6 - 2) × 180°

= 4 × 180° = 720°

∴ 4x + 280° = 720°

⇒ 4x = 720° - 280° = 440°

⇒ x = 110°

∴ Equal angles are 110° (each)

Concept: Sum of Angles of a Polynomial
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APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 16 Understanding Shapes
Exercise 16 (A) | Q 9 | Page 181
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