Question

Find m+n.

(I've been stuck on this problem for the longest time, as well as the previous one I asked, and I need help! Picture below.)

Answer 1

Easy Peasy Lemon Squeezy.

it's difficult because you are looking too hard. think simply. why does it tell you that angle is 40°?

Because if you follow the arrow back to where it starts you will see that exact same angle.

so now you know 1 (not m° or n°) angle inside the triangle is 40° and a complete triangle is 180°.

you also know a straight line has 180° on each side. and the line going from m° to n° splits that in half. meaning there is 90° to the right of it and 90° to the left of it. which means n° must equal 90°.

now you know you have 1 angle inside the triangle with 40° and n°=90° now you just need to find how much m° is.

add 40°+90° then Subtract from 180° to get m°.

180°-130°=50°
m°=50°