Question

In the given figure, 1 || m a
nd n is a transversal. If angle1 = 80° and angle5 = 100°, find the measures of angle 2, angle 3
and angle 4.​

Answer 1

Step-by-step explanation:

Since L || M,

Supplementary angle with Angle 1 = 180°-80°,

= 100°.

So, supplementary angle to angle 1 = angle 2 ( as they are alternate or corresponding).

So, angle 2= 100°

Also, angle 3+ angle 2= 180° (since these are the linear pairs),

So, angle 3= 80°,

And given that angle 5= 100°,

then angle 3+ angle 4= angle 5 (since it is an exterior angle of a triangle).

So, Angle 4= angle 5- angle 3,

= 100°- 80°,

= 20°.

Answer 2

Answer:

angle 1= 80°

angle 1= angle 3( alternate exterior angle)

angle 2 + angle 3=180°{linear pair}

angle 2 +80=180

angle 2 =180-80

angle 2= 100

angle5=100(given)

anlge 3 + angle 4= angle 5( eterior angle of triangle)

80+angle 4=100

angle 4 =100-80=20°