Question

Um....Answer with step by step explanation? :)
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Answer 1

C. X = 36 and Y = 39

D. X = 174 and Y = 33.33

Explanation:

C. 2x+30+3x-30=180

5x=180

X = 180/5

X = 36

2(36)+30+2y = 180

72+30+2y=180

102+2y=180

2y = 180-102

y = 78/2

y = 9

D. 2/3x + 1 + x/3 + 5 = 180

2/3x + x/3 = 180-6

X = 174

3y+2+x/3+5 = 180

3y +2 + 174/3 + 5 = 180

3y + 2 + 58 + 5 = 180

3y = 180 - 65

y = 115/3

Y = 33.33

Answer 2

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,

`(2x)/(3) + 1 + (x)/(3) + 5 = 180 \\ (3x)/(3) + 6 = 180 \\ x + 6 = 180 \\ x = 180 - 6 \\ x = 174`

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!