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olganol [36]
3 years ago
5

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.

Mathematics
1 answer:
expeople1 [14]3 years ago
4 0

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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