What is the sum of measurements of angle BCD and angle ACE in the given figure?

130 degree

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120 degree

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105 degree

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180 degree

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Solution

The correct option is A 130 degree
First, we need to find the measure of angle ACE

Since the angles ACE, ECD and BCD are in a single line, they will have a sum of 180 degrees.
So, ∠ACE + ∠ECD + ∠BCD = 180
∠ACE + 50 + 25 = 180
∠ACE = 105 degrees
Now, sum of ∠ACE and
∠BCD = 105 + 25 = 130 degree

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