Question

In the given figure, if AB parallel CD, Angle YXB = 140 degree and Angle YZC = 35 degree then Angle XYZ =?​

Answer 1

In the given figure, AB || CD. Find the value of x, y and z.

Looking to do well in your science exam ? Learn from an expert tutor. Book a free class!

It is given that AB || CD and BC is a transversal

From the figure we know that ∠ABC = ∠BCD

So we get

x = 35

It is also given that AB || CD and AD is a transversal

From the figure we know that ∠BAD = ∠ADC

So we get

z = 75

According to the △ ABO

We can write

∠ABO + ∠BAO + ∠BOA = 180o

By substituting the values

xo + 75o + yo = 180o

35o + 75o + yo = 180o

On further calculation

yo = 180o - 35o - 75o

By subtraction

yo = 180o – 110o

yo = 70o

Therefore, the value of x, y and z is 35, 70 and 75.

Step-by-step explanation:

this steps are all in step by step explanation

please mark braniest answee