Question

If m angle A= 110⁰ and m angle B = 35⁰ , find m angle 1

Answer 1

Notice that the sum of the interior angles of a triangle is 180. Therefore we have the following equation:

`A\text{ + B + C = 180}`

now, if A = 110 and B = 35, then replacing this data on the above equation we get:

`110\text{ + 35 + C = 180}`

this is equivalent to:

`145\text{ + C = 180}`

solving for C, we get:

`C\text{ = 180-145 = 35}`

and the angle 1 is exterior angle , then it is:

`angle\text{ 1 = 180 - 35 = 145}`

then, we can conclude that angle 1 is 145 degrees.