Angles. Acute Angle An angle that measures between 0 and 90 degrees.

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Presentation transcript:

Angles

Acute Angle An angle that measures between 0 and 90 degrees.

Right Angle An angle that measures 90 .

Obtuse Angle An angle that measures between 90 and 180 degrees.

Straight Angle An angle that measures 180 .

Reflex Angle An angle with measure between 180 and 360 degrees.

Vertical Angles Two angles across from each other when two lines intersect.

Name 2 pairs of vertical angles.  1 &  3  2 &  4

Perpendicular Lines Two lines that intersect to form right angles.

Adjacent Angles Two angles that share a vertex and ray, but no interior points (don’t overlap).

Not Adjacent Angles a b r s Why?

Name 4 pairs of adjacent angles.  1 &  2  2 &  3  3 &  4  1 &  4

Complementary Angles Two angles with measures that add up to 90°.

Find the value of y. y = 90° - 30° =60° y 30 

Supplementary Angles Two angles with measures that add up to 180°.

Linear Pair of Angles Two adjacent angles that form a line.

Find the value of x. x = 180° - 40° = 140°

Find x and y. x = 60° y = 180°- 60° y = 120°

What would they measure?

More Examples: #1 (3x + 2)  xx X = 22

Example #2 (3x + 6)  2x  X = 34.8

Examples #3  ABC and  CBD form a right angle. m  ABC = 3(m  CBD). How much does each angle measure? m  CBD = 22.5 m  ABC = 67.5

Example #4  RST   TSW m  RSW = 95  Each angle measures 47.5 degrees

Example #5 RM bisects  LRX. m  LRM = 6x – 9 m  MRX = 3x +12

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