Question

A camp ground site is in the shape of a quadrilateral. If the angles formed between the sides of the ground are in the ratio 1 : 2 : 3 : 4, the angles measure ___________.


a]36°, 72°, 108°, 144°


b]40°, 80°, 120°, 160°


c]25°, 50°, 75°, 100°


d]30°, 60°, 90°, 120°

Answer 1

Answer:

a

Step-by-step explanation:

Their sum is 360° which is the double of 180°

Answer 2

Answer:

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Step-by-step explanation:

we know that the sum of all the interior angles of the quadrilateral is 360°

Let the angles be x ,2x,3x,4x.

x+2x+3x+4x = 360°

$10x = 360 \\ = > x = \frac{360}{10} \\ = > x = 36$

so x = 36⁰

Then the angles are

• x = 36°
• 2x = 2x36° = 72°
• 3x = 3x36° = 108°
• 4x = 4x 36° = 144°

So the angles measure 36°, 72°, 108°, 144°