In adjacent figure, find:
∠A,∠B,∠C,∠D,∠E,∠F
Share
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Verified answer
[tex]\LARGE\sf {\underline{\underline\green{Required \: Answer:-}}}[/tex]
We know that the sum of the angles of a triangle is 180⁰.
[tex]\therefore \sf \: {In \: ∆ACE, we \: have ∠A + ∠C + ∠E = {180}^{0}........(i) } \\ [/tex]
[tex] \therefore\sf{In ∆BDF, we \: have ∠B + ∠D + ∠F = {180}^{0}........(ii) } \\ [/tex]
Adding the corresponding sides of (i) and (ii), we get:
[tex] \sf{(∠A + ∠C + ∠E) + (∠B + ∠D + ∠F) = 180⁰ + 180⁰.
}[/tex]
[tex] \implies \sf{∠A + ∠B + ∠C + ∠D + ∠E + ∠F = 360⁰} \\ [/tex]
_______________________________
Request:
If you are using phone, please slide the screen to view fullest.
[tex]\LARGE\sf {\underline{\underline\green{Required \: Answer:-}}}[/tex]
We know that the sum of the angles of a triangle is 180⁰.
[tex]\therefore \sf \: {In \: ∆ACE, we \: have ∠A + ∠C + ∠E = {180}^{0}........(i) } \\ [/tex]
[tex] \therefore\sf{In ∆BDF, we \: have ∠B + ∠D + ∠F = {180}^{0}........(ii) } \\ [/tex]
Adding the corresponding sides of (i) and (ii), we get:
[tex] \sf{(∠A + ∠C + ∠E) + (∠B + ∠D + ∠F) = 180⁰ + 180⁰.
}[/tex]
[tex] \implies \sf{∠A + ∠B + ∠C + ∠D + ∠E + ∠F = 360⁰} \\ [/tex]
_____________________________
I ᕼOᑭᗴ ITՏ ᕼᗴᒪᑭ YOᑌ