shape ABCDEF is an irregular hexagon. prove that the sum of the shape is720 degrees. show ur working. (3marks)
1 answer:
Answer:
Here's one way to do it
Step-by-step explanation:
Divide the hexagon into triangles, for example, as in the diagram below.
The triangles are all inside the hexagon, so the sum of their interior angles is the sum of those of the hexagon.
The sum of the interior angles of a triangle is 180°.
There are four triangles, so
Sum of interior angles = 4 × 180° = 720°
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Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identity
• 1 + cot²x = csc²x
Consider the left side
x -
x
Factorise as a difference of squares
= (csc²x - cot²x)(csc²x + cot²x)
= (1 + cot²x - cot²x)(csc²x + cot²x)
= csc²x + cot²x
= csc²x + csc²x - 1
= 2csc²x - 1 = right side ⇒ verified