Question

Find the measures of x,y and z in the figure, where I II BC
B​

Answer 1

Answer:

75°+x+45°=180° (Linear Pair)

So, on solving

x=60°

If l ||BC then

75°=y (Alternate Angles)

y=75°

z=45°(Alternate Angles)

z=45°

STEPS TO VERIFY

{ If u want to verify the answr the. add x,y,z if u get 180° then it's correct}

Why? there sum to b 180°

Angle sum property of a ∆

Answer 2

x = 60°

y = 75°

z = 45°

Step-by-step explanation:

Consider line "l" ,

⇒ 75 + x + 45 = 180

Since sum of angles in straight line is 180°

⇒ 120 + x = 180

⇒ x = 180 - 120

⇒ x = 60°

Now , z = 45°

∵ alternate angles

and y = 75°

∵ also alternate angles