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2 years ago

What is the measure of MBT?

Mathematics

2 answers:

s344n2d4d5 [400]2 years ago

7 0

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

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

$\\ \sf\longmapsto 12x=24$

$\\ \sf\longmapsto x=\dfrac{24}{12}$

$\\ \sf\longmapsto x=2$

Now

$\\ \sf\longmapsto \angle{MBT}$

$\\ \sf\longmapsto 5x+18$

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

$\\ \sf\longmapsto 10+18$

$\\ \sf\longmapsto 28$

MrRa [10]2 years ago

6 0

Answer:

m∠MBT = 28°

Step-by-step 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°.

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