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    tomaus's Avatar
    tomaus Posts: 2, Reputation: 1
    New Member
    		  
    #1

    Jun 24, 2011, 09:44 AM
    how can find angles please need your help?
    Joe has just completed an evening art course on creating stained glass,
    and so decides to create a window for his conservatory. He first designs his
    window on paper coming up with small sections that he hopes to piece
    together later. Figure 1 shows his first attempt.
    (a) AB is parallel to DC, ∠ABE = 25◦ and ∠AEB = 120◦.
    (I) Explain how Joe can work out ∠EDC without measuring it.
    (ii) Find ∠EAB explaining your reasoning.
    (iii) Find a triangle that is similar to triangle ABE explaining your
    reasoning. [2]
    (iv) If AB = 8cm, AE = 3.9 cm and EC = 9cm, use the similar
    triangles you found in part (a)(iii) to find the length of CD.
    (v) Given that ∠DBC = 84◦, find ∠ACB, and hence explain whether
    or not ABC is an isosceles triangle.
    please see my attachment
    thanks
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    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
    Uber Member
    		  
    #2

    Jun 24, 2011, 10:35 AM

    Come on what have you tried. What you basically need to know to solve this are:

    - When you have two straight lines crossing each other, the opposite angles are equal.
    - The total of the interior angles in a triangle is always equal to 180 degrees.
    - Similar triangles have the same interior angles and the ratio of their sides are the same.

    Can you try it out? :)
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