# What is an angle if two adjacent angles add up to 100 degrees?

August 28, 2021 | education

| The angles BOC and AOD, formed by two intersecting straight lines AC and BD, are vertical. The vertical angles are equal, so Angle 2 = Angle 3.

The same can be obtained from other reasoning:

Angle 3 + Angle 1 = 180 (adjacent), so Angle 3 = 180 – Angle 1;

Angle 2 + Angle 1 = 180 (adjacent), so Angle 2 = 180 – Angle 1;

Therefore, Angle 2 = Angle 3.

If Angle 2 = Angle 3, and Angle 2 + Angle 3 = 100 degrees,

then Angle 2 = Angle 3 = 100/2 = 50 degrees.

By the property of adjacent corners, Angle 1 = 180 – Angle 2 = 180 – 50 = 130 degrees.

Likewise, Angle 1 = 180 – Angle 3 = 180 – 50 = 130 degrees.

Answer: The AOB angle is 130 degrees.

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