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Question
There are six angles at a point. One of them is 45° and the other five angles are all equal. What is the measure of all the five angles?
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Solution
We know that the sum of angles at a point is 360°.
One angle = 45°
Let the equal angles be x° each
∴ x° + x° + x° + x° + x° + 45° = 360°
5x° + 45° = 360°
5x° = 360° − 45°
5x° = 315°
x° = `(315^circ)/5`
x° = 63°
∴ Measure of all 5 equal angles = 63°.
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