Question

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

Answer 1

Solution

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.