Question

in the given figure l is parallel m find angle ABC​

Answer 1

Step-by-step explanation:

hey buddy.......

here's your answer......

line m || line l

so, by corresponding angle.

angle 80° is adjacent of angle CAB

angle CAB = 180-80 = 100°

sum of the All sides of triangle is 180°

A+B+C = 180°

145+ B = 180°

B = 35°

I.e.angle ABC = 35°

hope it helps

Answer 2

Given:

Angle ACB=45°

To find:

Angle ABC

Solution:

The required angle is 35°.

We can determine the angle's measure by adding the triangle ABC's angles.

Since l and m are parallel, the angle A to the exterior of ΔABC will be equal to 80° (Angles are interior and alternate)

So, angle CAB=180°-exterior angle A

Using values,

Angle CAB=180°-80°=100°

Now, angle ABC+angle CAB+angle ACB=180°

We will put the values,

Angle ABC+100°+45°=180°

Angle ABC=180°-145°

Angle ABC=35°

Therefore, the required angle is 35°.