Question

SV is an angle bisector of ∠RST. If m∠RSV = (3x + 7)° and m∠RST = (8x − 12)°, find x.

Select each definition, postulate, or theorem you will use.

A Angle Addition Postulate
B Linear Pair Theorem
C definition of midpoint
D definition of angle bisector

The solution is x = .

Answer 1

∠RSV=(3x + 7)°
∠RST = (8x − 12)°
∠RSV=∠VST=1/2∠RST


(3x + 7)°+(3x + 7)°= (8x − 12)°
3x+7+3x+7=8x-12
3x+3x-8=-12-7-7
-2x=-2
x=-2/(-2)
x=1

А. Angle Addition Postulate
х=1