Question

SV−→bisects ∠RST. If m∠RSV = 64, what is m∠RST?

Answer 1

Given:

`\overrightarrow{SV}` bisects ∠RST.

`m\angle RSV=64^\circ`

To find:

The
`m\angle RST`.

Solution:

Since,
`\overrightarrow{SV}` bisects ∠RST, therefore

`m\angle RSV=m\angle VST` ...(1)

Now,

`m\angle RST=m\angle RSV+m\angle VST`

`m\angle RST=m\angle RSV+m\angle RSV` [Using (1)]

`m\angle RST=2* m\angle RSV`

`m\angle RST=2* 64^\circ`
`[\text{Given }m\angle RSV=64^\circ]`

`m\angle RST=128^\circ`

Therefore, the value of
`m\angle RST` is
`128^\circ`.