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tester [92]
3 years ago
15

I have to find the angle measurements of a interior triangle a is 4x b is 7x-2 and c is 5x-10

Mathematics
1 answer:
RSB [31]3 years ago
5 0

Answer:

m\angle a=48^o\\m\angle b=82^o\\m\angle c=50^o

Step-by-step explanation:

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

so

m\angle a+m\angle b+m\angle c=180^o

substitute the given values

4x^o+(7x-2)^o+(5x-10)^o=180^o

solve for x

(16x-12)^o=180^o

16x=180+12\\16x=192\\x=12

Find the angle measurements

m\angle a=4(12)=48^o

m\angle b=7(12)-2=82^o

m\angle c=5(12)-10)=50^o

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