Um.Answer with step by step explanation? :)

Step-by-step explanation:

c )

Sum of all angles on a straight line is 180° so,

3x - 30 + 2x + 30 = 180

5x = 180

x = 180/5

x = 36

so,

value of x is 36

therefore, 3x - 30 = 3(36) - 30 = 108 - 30 = 78°

also we know,

2y = 78° ( Vertically opposite angle )

so,

2y = 78

y = 78/2 = 39°

hence, x = 36° and y = 39°

d )

sum of all angles on a straight line is 180°

so,

we know,

2x/3+1

2(174)/3 + 1

348/3 + 1

116 + 1 = 117

now,

3y + 2 = 117 ( vertically opposite angle)

3y = 117 - 2 = 115

y = 115/3 = 38.3°

hence, x = 174 and y = 38.3.

hope this answer helps you dear...take care and may u have a great day ahead!

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

typically if you want , you would actually put questions here for us to you. but hey, that's just me. maybe someone will magically answer the questions for you without knowing what they are.