Question

Find the measure of the missing angles.

Answer 1

Answer:

g. 92*

h. 88*

m. 89*

k. 91*

Step-by-step explanation:

To find h and m: All of the angles on a straight line added up equals 180*. So if there are two angles, the sum of them must equal 180* (angle A + angle B = 180*)

So in this case we have angle h + 92* = 180* using algebra, we subtract 92 from both sides and we get angle h = 88*

If you want to check, add 92 + 88 = 180.

Also angle m + 91* = 180*. Same thing as above, subtract 91 from both sides and we get angle m = 89*

If you want to check, add 91 + 89 = 180.

When you have two straight lines intersecting (crossing), the opposing angles at that crossing are going to be equal. So in this case angle g is opposite from the anbgle that we know is 92*, so angle g is also 92*. Same thing for angle k, we know the angle opposite angle k is 91*, so we know that angle k is also 91*.

Answer 2

Okay with the vertical angles theorem we know that the angles across from each other are congruent so that immediately tells us g=92°.
then the straight line that h and 92° is on =180 so we can use that to solve for h. so 180-92=88. so h =88.
same rules apply to the lower intersection. k=91° and 91+m=180. so m=89°