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How to find unknown angles

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Specific geometric characteristics define angles, and understanding their distinctions is essential in geometry. For instance, certain angles combine to create a right angle, while others form a straight line. Some angles share a side, and those created by intersecting lines are positioned opposite each other as vertical angles.

This Math Shorts video, created by Planet Nutshell for PBS Learning Media, demonstrates different anglesβ€”complementary, supplementary, adjacent, and verticalβ€”and then shares how to find unknown angles by identifying what type of angle you’re looking at.

adjacent angle
Complementary Angles (Sum to 90Β°): In a right angle, subtract the known angle from 90 degrees to determine the unknown complementary angle.

Supplementary Angles (Sum to 180Β°): When two angles form a straight line, subtract the known angle from 180 degrees to find the unknown supplementary angle.

Adjacent Angles (shown above in orange): Assess the angle and its relationship with its neighbor; since adjacent angles add up to the larger angle, angle addition will determine the unknown adjacent angle.

Vertical Angles (Always Equal): Identify the known angle when lines intersect; pairs of angles opposite each other are always equal.

different types of angles
Watch these related geometry videos next:
β€’ Angle Dance, a 80s-style music video by Plane Geometry
β€’ Observing the angle of repose with DIY physics devices
β€’ Michael Moschen’s The Triangle
β€’Β How many ways are there to prove the Pythagorean theorem?

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