Selina solutions

Selina solutions

Grade 6

Polygons | Exercise 28(A)

Question 10

Q10) Two angles of a hexagon are 90° and 110°. If the remaining four angles arc equal, find each equal angle.

Solution:

Two angles of a hexagon are 90° , 110°

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

Their sum = 4x + 200°

But sum of all the interior angles of a hexagon

= 2n - 4 x 90° = 2 x 6 - 4 x 90° = 8 x 90° = 720°

4x + 200° = 720°

4x = 720° - 200° = 520°

x = 520° /4 = 130°

Equal angles are 130°

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subject-cta

Question 10

Q10) Two angles of a hexagon are 90° and 110°. If the remaining four angles arc equal, find each equal angle.

Solution:

Two angles of a hexagon are 90° , 110°

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

Their sum = 4x + 200°

But sum of all the interior angles of a hexagon

= 2n - 4 x 90° = 2 x 6 - 4 x 90° = 8 x 90° = 720°

4x + 200° = 720°

4x = 720° - 200° = 520°

x = 520° /4 = 130°

Equal angles are 130°

Still have questions? Our expert teachers can help you out

Book a free class now

Want to top your mathematics exam ?

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subject-cta
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