Question

In the adjacent figure, AB || CD. t is a
transversal intersecting E and F respectively. If
Angle 2:angle1 = 5:4, find the measure of each
marked angles.​

Answer 1

Step-by-step explanation:

Let angle 2=5x and angle 1= 4x

5x+4x=180. ......(linear pair)

9x=180

x=20

so,angle 2 =100

angle 1=80

now angle 3=angle 1...[vertically opp.angle]

angle 3=80 .

similarly,angle2=angle4=100

angle 3= angle 5=80.....(alternate interior angle)

similarly, angle 4= angle 6=100

now angle 6=angle8...(vertically opp. angle)

angle 7=angle 5 (vert. opp. angle)

Hope it will help you

Answer 2

Answer:

Let angle 2=5x and angle1=4x.

5x+4x=180⁰(linear pair)

9x=180⁰

x=20⁰

angle2=5×20⁰

=100⁰

angle 1=4×20⁰

=80⁰

angle2=angle 4(V.O.A)

100⁰=100⁰

angle 1=angle3(V.O.A)

80⁰=80⁰

angle 4=angle8(corresponding sides)

100⁰=100⁰

angle3=angle7( corresponding sides)

80⁰=80⁰

angle8= angle6(V.O.A)

100 ⁰=100⁰

angle7=angle5(V.O.A)

50⁰=50⁰