Question

1.Solve for angle D using all three of the definitions of vertical, supplementary, and corresponding angles. Explain your reasoning.

Answer 1

I just need to solve the last part.

Answer 2

you solved D already :) ?

Answer 3

no I need help solving it. 180 - ?

Answer 4

Vertical angles are the 2 angles opposite each other where two lines meet. Angle d and angle b are vertical angles.

Supplementary angles are 2 angles whose measures add up to 180 degrees. Angle d and angle c are supplementary angles.

When a set of lines is crossed by a transversal, angles that lie in the same position relative to the intersection of one parallel line and the transversal are corresponding angles. Angle d and c are corresponding angles.

Answer 5

please help ganeshie8

Answer 6

here assumption is that, lines m and n are parallel

Answer 7

then, find the corresponding angle for 60

Answer 8

@ganeshie8 is correct. Without that assumption, you can't really do much with the problem.

Answer 9

is it 180 - 60

Answer 10

45 degrees? is the corresponding angle?

Answer 11

nopes. finding corresponding angle is like finding the matching pair

Answer 12

is angle d an acute angle?

Answer 13

imagine you slide the line \(m\) slowly to right side

Answer 14

and overlap it on line \(n\)

Answer 15

then 60 overlaps with angle \(a\)

Answer 16

so, we call angle \(a\) and 60 are corresponding angles.

corresponding angles are equal

\(a = 60\)

Answer 17

got it

Answer 18

great ! look at the pic once again

Answer 19

and tell me whats the 'vertical angle' for angle \(a\)

Answer 20

angle a and angle c

Answer 21

right?

Answer 22

perfect !

Answer 23

vertical angles are equal.

\(c = a\)

Answer 24

so, \(c = 60\)

Answer 25

How do you solve for angle d?

Answer 26

Is d an acute angle?

Answer 27

see that c, d and 45 are making a straight line

Answer 28

they add up to 180

Answer 29

c + d + 45 = 180

Answer 30

plugin c = 60 above, and you can solve d

Answer 31

What do you mean? Add them all together? And then subtract?

Answer 32

c + d + 45 = 180

put c = 60

Answer 33

60 + d + 45 = 180

Answer 34

d + 105 = 180

Answer 35

subtract 105

Answer 36

d + 105 = 180
-105 -105

d = 75

Answer 37

thx

Answer 38

yw