The sum of the three angles formed at the intersection of two straight lines is 320 degrees.

The sum of the three angles formed at the intersection of two straight lines is 320 degrees. Find the sum of the obtuse angles.

1) What is the degree measure of the first angle formed at the intersection of two straight lines?

The sum of the angles formed at the intersection of two straight lines is 360˚. Hence the first angle will be equal to:

360˚ – 320˚ = 40˚.

2) What is the second angle formed at the intersection of two straight lines?

Since the vertical angles are equal, then the second angle will also be 40˚.

3) What is the degree measure of each angle of the second pair of vertical angles?

180˚ – 40˚ = 140˚.

4) What is the sum of obtuse angles?

140˚ * 2 = 280˚.

Answer: The sum of the obtuse angles is 280˚.



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