find X value from the following diagram
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this is the answer of question that you are tagged in. find the value of the x in triangle .this is solved by exterior angle property.
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Answer:
65°
Step-by-step explanation:
to solve the answer first we take ∆ ABC
the sum of triangle is 180°
i.e.angle A + angle B + angle C = 180°
75°+55°+angle C = 180°
130°+ angle C = 180°
angle C = 180°-130°=50
now in line BCD
the sum of linear line is 180°
i.e. angle BCA + angle ACE+ angle ECD=180°
50°+35°+ angle ECD= 180°
85° + angle ECD = 180°
angle ECD= 180°-85°=95°
now in ∆ ECD,
angle E + angle C + angle D= 180°
x+95°+20°=180°
x+115°=180°
x=180°-115°=65°
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