Question

What is the measure of MBT?

Answer 1

m∠MBT = 28°

Explanation:

BN is an angle bisector. This makes ∠NBM and ∠MBT equal.

`17x-6=5x+18\\12x-6=18\\12x=24\\x=2`

Finally, substitute the value for the variable.

`5(2)+18\\10+18\\28`

Therefore, m∠MBT = 28°.

Answer 2

`\\ \sf\longmapsto 17x-6=5x+18`

`\\ \sf\longmapsto 17x-5x=18+6`

`\\ \sf\longmapsto 12x=24`

`\\ \sf\longmapsto x=(24)/(12)`

`\\ \sf\longmapsto x=2`

Now

`\\ \sf\longmapsto \angle{MBT}`

`\\ \sf\longmapsto 5x+18`

`\\ \sf\longmapsto 5(2)+18`

`\\ \sf\longmapsto 10+18`

`\\ \sf\longmapsto 28`