Question

Find the measure of each missing angle (pls show how, it’d help me)

Answer 1

Answer:

Step-by-step explanation:

Ok man, you wanted the explanation (first person I've seen like that good job!)

This answer will be delayed like 10 minutes.

You already filled out number 4 so I'm going to skip that.

If 4 is 115 degs and you know that 4 + 5 and 4 + 2 are equal to 180 degrees because it is a straight line, 180 - 115 = 65.

So 5 and 2 is 65 degs.

If 2 is 65 degrees, you can add the 80 from the side to get

65 + 80 = 145.

There are 180 degrees in a triangle so...

180 - 145 = 35

Number 1 is 35 degrees.

A quadrilateral (something like the 4 sided weird thingie on the right that includes 5, 7, 61 degs, and the right angle) has 360 degrees, so...

61 + 65 (Angle 5) + Angle 7 + 90 (the right angle on the bottom right) = 360

61 + 65 + 90 + Angle 7 = 360

216 + Angle 7 = 360

360 - 216 = Angle 7

144 = Angle 7

Then you do 180 - 144 to get 6 since they are on a straight line.

Angle 6 = 36 degs.

If Angle 6 is 36 degs and the top is 115, you can add them and subtract it from 180 to get 3.

115 + 36 = 151

180 - 151 = 29

Angle 3 is 29 degs.

There you go!

You can check this by filling in the angles I mentioned and seeing if they add up to the total that should be formed of 180 or 360 depending on the quadrilateral, triangles, and supplementary angles.

Good luck!