Question

What will be the measure of the third angle if two angles of triangle are 95 degree and 25 degree

Answer 1

Answer:

Third angle is 60°

Step-by-step explanation:

Sum of all angles of a triangle is equal to 180.

This can be proved by the following activity :

Draw line a through points A and B. Draw line b through point C and parallel to line a.

Since lines a and b are parallel, <)BAC = <)B'CA and <)ABC = <)BCA'.

Since lines a and b are parallel, <)BAC = <)B'CA and <)ABC = <)BCA'.It is obvious that <)B'CA + <)ACB + <)BCA' = 180 degrees.

Since lines a and b are parallel, <)BAC = <)B'CA and <)ABC = <)BCA'.It is obvious that <)B'CA + <)ACB + <)BCA' = 180 degrees.Thus <)ABC + <)BCA + <)CAB = 180 degrees.

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Now,

Let the third angle be x.

→ 95° + 25° + x° = 180°

→ 120° + x = 180°

→ x = 180° - 120°

= 60°

So, the third angle is 60°.

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Hope it is helpful to you.

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