Question

Find the missing angle measures. There are 15 total.

Answer 1

measure of angle 4 would be complementary to measure of angle LDK
Thus
Angle 4 + 60 = 90
Angle 4 = 30

Answer 2

ok thank you

Answer 3

measure of angle 6 + angle QRS = 180 (straight line definition)
Angle 6 = 50

Answer 4

do you know any other ones?
i cant do it to hard

Answer 5

Angle 1 is 130 degrees (corresponding congruent angles follows to the postulate "parallel lines cut by transversal causes congruency for corresponding angles"

Answer 6

thank you so much!

Answer 7

Angle 1 + angle 10 = 180 (definition of straight line)
Angle 10 = 50

Answer 8

angle 1 and angle 12 are congruent by the definiton of vertical angles thus angle 12 = 130

and angle 11 = angle 10
thus angle 11 = 50 degrees

Answer 9

Also
angle 3 = angle 10 (corresponding angle are congruent when there are parallel lines cut by transversal)
thus Angle 3 = 50 degrees

Answer 10

what is a thus angle?

Answer 11

No i meant Thus, Angle 3 = 50 degrees

Answer 12

forgot the coma

Answer 13

oh ok

Answer 14

Finding measure of angle 8 is simple

by the definition of sum of triangle and vertical angles theorem

90 + angle 3 + vertical angle to angle 8 = 180
90 + 50 + vertical angle to angle 8 = 180
vertical angle to angle 8 = 40

Thus, Angle 8 would also equal to 40 since vertical angles are congruent

Answer 15

Angle 14 + vertical angle to angle 4 + 3rd angle of the triangle = 180
Angle 14 + 30 + 70 = 180
Angle 14 = 80

Answer 16

your really good at this

Answer 17

Angle 9 = angle 14 )definition of vertical angles)
Angle 9 = 80

Angle 13 + angle 9 = 180 (definition of straight line)
Angle 13 = 100

Angle 15 = angle 13 (definition of vertical angles)
Angle 15 = 100

Answer 18

Angle 5 can be found by:
finding the measure of angle DJR

angle 6 + 60 + angle DJR = 180
50 + 60 + angle DJR = 180
Angle DJR = 70

Angle 5 is congruent to angle DJR because (corresponding angle of parallel lines cut by transversal are congruent)
Therefor Angle 5 = 70

Answer 19

Now finding angle 7:
vertical angle of angle 5 + vertical angle of angle 3 + angle 7 = 180
70 + 50 + angle 7 = 180
angle 7 = 60

Answer 20

Angle 6 = angle 2 (Alternate exterior angle are congruent)
Angle 2 = 50

is there anything left?

Answer 21

no hank you so much

Answer 22

thank you*

Answer 23

you welcome :)