1.3: Measuring and Constructing Angles

An __angle_ is two rays with a common endpoint.

Parts of an angle Sides- Rays Vertex- initial pt (endpoint) of each ray Interior Points- points between the sides Exterior Points- points outside the angle

Name the following: ~the angle in three ways ~the vertex ~the sides ~an interior point ~an exterior point ~a point on angle (besides vertex)

Name the following: ~The angle. ~The vertex of the angle. ~The sides of the angle. ~A point in the interior of the angle. ~A point in the exterior of the angle. ~A point on the angle besides the vertex.

List all the angles that can be named using only one vertex letter.

The measure of an angle is the ROTATION __rotation_ between the two sides.

Postulate 3 – Protractor Postulate

Use the protractor to figure out the measure of the angle named.

Which angle is bigger? <SML or <BIG

Adjacent Angles are two angles with a common side, a common vertex, and no common interior points.

Postulate 4 – Angle Addition Postulate Two adjacent angles may be added to get a total.

Use the Angle Addition Postulate to find the measures of the unknown angle.

Find the value of x if m<AXB = 180o. Find m<AXC and m<CXB.

Classifying Angles Acute- Obtuse- Right- Straight-

Are points P, X, and H collinear? Using the numbered angles, name an acute angle. obtuse angle.