# Calculate the degree measures of the angles if the sum of the two vertical angles is 116

March 27, 2021 | education

| **Calculate the degree measures of the angles if the sum of the two vertical angles is 116 degrees. The acute angle is =? °. The obtuse angle is =? °.**

The solution of the problem:

Vertical angles are formed when two straight lines intersect. In total, when two straight lines intersect, four corners are formed, two vertical angles. The two vertical corners are sharp and equal. The two angles are obtuse and are also equal to each other. The sum of all these four angles is three hundred and sixty degrees.

1. Find out what the sum of two obtuse angles is equal to.

360-116 = 244 degrees.

2. What is one obtuse angle?

244/2 = 122 degrees.

3. What is one acute angle?

116/2 = 58 degrees.

Answer: Acute angle = 58 degrees, obtuse = 122 degrees.

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