ABCD is a guide if angle BCD is 40 degree find angle bdc angle abc q 9 1st diagrams
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As summation of all three angles of a triangle is 180° (π radians)
So,
angle CBD + angle BDC + angle DCB = 180°
Now,
side CB = side CD
So,
angle CBD = angle BDC
Therefore,
2(angle BDC) + angle DCB = 180°
2(angle BDC) + 40° = 180°
2(angle BDC) = 140°
angle BDC = 70°
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Now, as ∆ ABD is an equilateral triangle,
There all three angles of ∆ ABD will be 60°
Thus,
angle ABC = angle ABD + angle DBC
angle ABC = 60° + 70°
angle ABC = 130°
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Answer:
angle BDC = 70°
angle ABC = 130°
So,
angle CBD + angle BDC + angle DCB = 180°
Now,
side CB = side CD
So,
angle CBD = angle BDC
Therefore,
2(angle BDC) + angle DCB = 180°
2(angle BDC) + 40° = 180°
2(angle BDC) = 140°
angle BDC = 70°
--------------------------------------------------
Now, as ∆ ABD is an equilateral triangle,
There all three angles of ∆ ABD will be 60°
Thus,
angle ABC = angle ABD + angle DBC
angle ABC = 60° + 70°
angle ABC = 130°
--------------------------------------------------
Answer:
angle BDC = 70°
angle ABC = 130°
Answered by
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Answer:
bdc has angle 70
abc has 120
Step-by-step explanation:
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