Question

9. Find the angle measure x in each of the following figures.​

Answer 1

Answer:

x=60 degrees.

Step-by-step explanation:

In the figure ABCD,

\angle A=50\∠A=50  \angle B=130∠B=130 \angle C=\ 120∠C= 120 \angle D=\ x∠D= x

Since, the sum of all angles of a quadrilateral is 360 degrees,

Therefore, \angle A\ +\ \angle B\ +\ \angle C\ +\ \angle D=360∠A + ∠B + ∠C + ∠D=360

50 + 130 + 120 + x= 360

= 300 + x= 360

=x= 360 - 300

x=60 degrees.

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