Question

please help in this question too
in this also we have to find x and the missing angle! ​

Answer 1

Answer:

angle CAB = 180-150.......linear pair

angle CAB = 30°

now ,

angle CAB = angle ACB.......angles opposite to equal sides are equal

so, CAB=ACB =30°

angle x= 180-(CAB+ACB)

=180-(30+30)

=180-60

=120°

so, angle x=120°

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Answer 2

x = 120⁰

angle DAC + angle CAB = 180⁰.....linear pair

150⁰ + angle CAB = 180⁰

angle CAB = 180-150

= 30⁰

Given AB= BC

so ABC is an isosceles triangle

angle A = angle C

angle B = 30⁰

We know that sum of interior angle of triangle is equal to 180⁰

So, angle A + angle B+ angle C = 180⁰

30⁰ + angle B + 30⁰ = 180⁰

60⁰ + angle B + 30⁰ = 180⁰

angle B = 180 - 60

= 120⁰

Therefore, the value of x is 120⁰