Question

What are the measures of Angles a,b, and c? Show your work and explain your answers. Will marks best answer as Brainliest

Answer 1

Angle a is directly opposite from a 40 degree angle, so a=40. Then we can find b since the sum of the angles of all triangles is 180 and there is a right angle in there along with angle a:
$180=90+40+b$
$b=50$

Last, to find c we just notice that it is supplementary with an angle of measure 65, so:
$c+65=180$
$c=115$

So our angles are a=40, b=50, c=115.