Question

ab is parallel to CD if angle 2 is equal to 2 X + 30 and angle 4 is equal to X + 2 Y and angle 6 is equal to 3 Y + 10 find angle 5​

Answer 1

Answer:

angle 5 = 50 degree

Step-by-step explanation

angle 2 = angle 4 (vertically opposite)

ie, 2x+30=x+2y

2x-x=2y-30

x=2y-30  ⇒ eqn 1

angle 4 = angle 6 (alternative interior)

x+2y = 3y+10

substituting x=2y-30 frm eqn 1

2y - 30+2y=3y+10

4y-3y=40

y=40 ⇒eqn 2

angle 6 =3y+10

substituting y=40 frm eqn 2

angle6= 3*40+10

=120+10

therefore, angle6=130

angle 6+angle 5=180

therefore, angle 5 = 180-130=50

thats it.....hope you understand....

Answer 2

Answer:

50 degree is correct answer..................