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If m∠BAC=(7x+1)° and m∠BCA=(5x+9)°, what is the measure of the vertex angle? Show your work to support your answer.

If mBAC7x1 and mBCA5x9 what is the measure of the vertex angle Show your work to support your answer class=

Respuesta :

abidemiokin

Answer:

128degrees

Step-by-step explanation:

Note that the given triangle ABC is an isosceles triangle with base angles equal, hence;

m∠BAC = m∠BCA

7x+1 = 5x+9

7x - 5x = 9-1

2x = 8

x = 8/2

x = 4

m∠BAC = 5x+6

m∠BAC = 5(4)+6

m∠BAC = 26 degrees

The vertex angle = 180 - (26+26)

The vertex angle = 180 - 52

The vertex angle = 128degrees

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