Question

Find the measures of x,y and z in the figure, where L ll BC

Answer 1

GIVEN:- l parallel to BC,

SO, y° = 75° , z° = 45°

We know the triangle properties,

Sum of angles of a triangle = 180°

Now,

<X + <y + <z = 180°

<x = 180° - 75 - 45

<x = 180° - 120°

<x = 60°

Answer 2

Hi ,

It is given that ,

l // BC

i ) 75° + x° + 45° = 180° [ straight angle ]

x + 120° = 180°

x = 180 - 120

x = 60°

ii ) l // BC , AB is the transversal ,

y° = 75° [ alternate angles ]

iii ) l // BC , AC is the transversal .

z° = 45° [ alternate angles ]

Therefore ,

x° = 60° , y° = 75° , z° = 45°

I hope this helps you.

: )