Question

calculate the value of x in the figure . please show the method to find the answers ​

Answer 1

Answer:

x=75

Step-by-step explanation:

Angle ABC=180degrees -angle ABE(linear pair)

Angle ABC=180degrees-150degrees

Angle ABC=30 degrees

Angle ABC+x+x=180(Angle sum property of a triangle)

30+x+x=180

30+2x=180

2x=180-30

2x=150

x=150/2

x=75

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Answer 2

Answer:

Here, The value of angle(acb) is 120° and of angle(bac)=30°.

Step-by-step explanation:

Here, As per our given question,

As BC is a line

=150°+angle(abc)=180°

Let angle(abc)=x

=150°+x=180°

=x=180°-150°

=x=30°

Now, angle(abc)+angle(acb)=150° (Sum of two corresponding interior angles is equal to the exterior angle)

=30°+x=150°

=x=150°-30°

=x=120°

Now, angle(abc)+angle(acb)+angle(bac)=180° (Angle sum property of a triangle)

=30°+120°+x=180°

=150°+x=180°

=x=180°-150°

=x=30°

So, Here The value of angle(acb)=120° and angle (bac)=30°.

Thank you.