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?

Answer 1

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°.