Question

Find the measure of each angle indicated.

Answer 1

∠ X = 102°.

Explanation:

See the figure attached.

This is a quadrilateral with angles 72°, (18x - 3)°, (18x - 6)° and 81°.

Now, the sum of all the four angles of the given quadrilateral will be 360°.

So, 72 + (18x - 3) + (18x - 6) + 81 = 360

⇒ 36x + 144 = 360

⇒ 36x = 216

⇒ x = 6

Therefore, ∠ X = 18x - 6 = 18(6) - 8 = 102° (Answer)