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In triangle abc angle a+angle b …

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In triangle abc angle a+angle b =120°,angle a+angle c =130°. Find angle a

Posted by Ayush Aryan 8 years, 6 months ago

CBSE > Class 09 > Mathematics

1 answers

Tanya Singla 8 years, 6 months ago

Given: a+b=120

Therefore, b=120-a ---Eqⁿ1

and, a+c=130

Therefore, c=130-a ---Eqⁿ2

Since we know that the sum of angles of a triangle is 180⁰

=> a+b+c=180⁰ ---Eqⁿ3

Putting values of b and c from Eqⁿ1 and Eqⁿ2 in Eqⁿ3

=> a+120⁰-a+130⁰-a = 180⁰

=> 250⁰-a =180⁰

=> -a = 180⁰- 250⁰

=> angle a= 70⁰

Now putting value of angle a in Eqⁿ1 and Eqⁿ2, we get

angle b= 120-70= 50⁰and

angle c= 130-70= 60⁰

0Thank You

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