Question

-. The exterior angles obtained on producing the base of a triangle
both ways are 104° and 136º. Find the angles of the triangle.
answer this​

Answer 1

Answer :

44° , 60° , 76°

Note :

★ Linear pairs of angles : Two adjacent angles lying on the same straight line is called Linear pair of angles .

★ Sum of linear pair of angles is 180° .

★ Linear pair of angles are supplementary .

★ Angle sum property of a triangle : The sum of all the interior angles of a triangle is 180° .

Solution :

Let's us assume ;

• A ∆ABC with base BC .

• BC produced along DE .

• ∠ABD = 104° and ∠ACE = 136°.

Now ,

=> ∠ABD + ∠ABC = 180° { linear pair }

=> 104° + ∠ABC = 180°

=> ∠ABC = 180° - 104°

=> ∠ABC = 76°

Also ,

=> ∠ACE + ∠ACB = 180° { linear pair }

=> 136° + ∠ACB = 180°

=> ∠ACB = 180° - 136°

=> ∠ACB = 44°

Also ,

=> ∠ABC + ∠ACB + ∠BAC = 180°

{ angle sum property of ∆ }

=> 76° + 44° + ∠BAC = 180°

=> 120° + ∠BAC = 180°

=> ∠BAC = 180° - 120°

=> ∠BAC = 60°

Hence ,

44° , 60° , 76° are the angles of the triangle under consideration .

Answer 2

Answer:

Here's your answer........✌✌✌✌✌✌

Hope this helps you...sorry my writing is bad......