Calculate the Angle Bisector: Finding α in a 60-Degree Construction

Calculate angle α \alpha given that it is a bisector.

ααα606060AAAaaa

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Step-by-step video solution

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00:00 Find angle A
00:03 Angle bisector according to the given data
00:06 We'll substitute an appropriate value according to the given data, and find angle A
00:09 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Calculate angle α \alpha given that it is a bisector.

ααα606060AAAaaa

2

Step-by-step solution

Since an angle bisector divides the angle into two equal angles, and we are given that one angle is equal to 60 degrees. Angle α \alpha is also equal to 60 degrees

3

Final Answer

60

Practice Quiz

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Given:

\( ∢\text{ABC}=90 \)

\( ∢DBC=45 \)

Is BD a bisector?

AAABBBCCCDDD45

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