1.3 a: Angles, Rays, Angle Addition, Angle Relationships. CCSS.
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G-CO.9 Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment’s endpoints.
Vertex- where they met
You can name an angle by specifying three points: two on the rays and one at the vertex.
XW & XT
W X Z
m PQR + m RQS = m PQS.
Ans: x+40 + 3x-20 = 8x-60
4x + 20 = 8x – 60
80 = 4x
20 = x
Angle PRQ = 20+40 = 60
Angle QRS = 3(20) -20 = 40
Angle PRS = 8 (20)-60 = 100
Are they different from linear pairs?
BD is an angle bisector of <ABC.
What is the m<BYZ ?
BD bisects ABC
Why wouldn’t the Angle Addition Postulate help us solve this initially?