Question

Calculate x in the given figure.​

Answer 1

Answer:

X equals to 140

Step-by-step explanation:

(x-50)+(30)+(x-80)=180(Linear angles)

2x-50+30-80=180

2x=180-30+130

2x=280

x=280/2

x=140

Hope it helps you!!

Answer 2

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Actually Welcome to the concept of Adjcent angles in a linear pair.

Since here, all the angles are adjacent and supplementary in nature, so their sum is 180°.

so we get as,

==> x-50 + 30 + x -80 = 180

==> 2x -130 + 30 = 180

==> 2x -100 = 180

==> 2x = 280

==> x = 140°

hence, what we get now is,

==> Angle 1 = 140-50 = 90°

==> Angle 3 = 140 - 80 = 60°

Verification :

adding all angles =

90° + 60° + 30° = 180° (linear pair)