Question

If ST bisects RSV, m RST =5x-3 and m VST=2x+15 then choose an equation that could be used to solve for x

Answer 1

x = 6

Explanation:

`\because ST \: bisects\: \angle RSV\\</p><p>\therefore m\angle RST = m\angle VST\\</p><p>(by\: \angle \: bisector \: property) \\</p><p>\therefore 5x - 3 = 2x + 15\\</p><p>\therefore 5x - 2x = 15 +3\\</p><p>\purple{\bold {\therefore 3x = 18}} \\</p><p>\therefore x =(18)/(3)\\</p><p>\huge \orange {\boxed {\therefore x = 6}}`