Question

In exercises 5-10, use your new conjectures to calculate the measure of each lettered angle.

Answer 1

Answer:

Step-by-step explanation:

I can barely see enough to do 5 and 6. 7 the diagram is unclear and 9 I can't tell where the letters are. I suggest you darken the lines and make sure the letters for the unknowns are clear. Don't hold the paper: just as the picture was taken the image moved slightly. I don't know what to suggest.

Five

The ray defining a is pointing right at the five. That's my first assumption.

You need to find the interior angle connected to a.

Pentagon exterior angles

The total number of degrees for the exterior angles of a pentagon is 360

Supplement of 140 degrees

140 + x = 180 because the exterior and interior angles are supplementary

x = 180 - 140

x = 40

Find a

a + 40 + 60 + 84 + 68 = 360

a + 252 = 360

a = 360 - 252

a = 108

Six

This is really hard to read. Including b, there are three angles that are marked the same

Supplement to 68

180 - 68 = 112

Find b

112 + 43 + x + 89 + x +x = 360

244 + 3x = 360

3x = 116

x = 116/3

x = 38.67

Since b is marked as equal to 1 of the 3 exterior angles that are equal, b = 38.67

That is all I can read.