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3 years ago

. The exterior angles of a triangle are (2x+10)⁰, (3x-5) ⁰ and (2x+40) ⁰.

Mathematics

1 answer:

Pepsi [2]3 years ago

5 0

The exterior angles of a triangle are (2x+10)⁰, (3x-5) ⁰ and (2x+40) ⁰

To get interior angle for each , subtract from 180

$180-(2x+10)=170-2x\\180-(3x-5)=185-3x\\180-(2x+40)= 140-2x$

Sum of interior angles = 180

$170-2x+185-3x+140-2x=180$

$-7x+170+185+140=180\\-7x+495=180\\-7x+495-495=180-495\\-7x=-315\\x=45$

$170-2x=170-2(45)=80\\185-3x=185-3(45)=50\\140-2x=140-2(45)=50$

Answer: x=45

smaller angle =50 degree

largest interior angle = 80 degrees

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