Question

find the angle measure x in the 4th and 5th diagram the down one ​

Answer 1

Answer:

Assume that the two interior angles in the fig (iv) is y and z.

y = 180° - 150° (Linear Pair)

y = 30°

z = 180° - (30° + 100°) (Angle Sum Property)

z = 50°

x = 180° - z (Linear Pair)

x = 180° - 50°

x = 130°

We know that the sum of all the exterior angles of a quadrilateral is 360°.

(x+5) + (2x-10) + (x) + (4x+5) = 360°

or, x + 5 + 2x - 10 + x + 4x + 5 = 360°

or, 8x = 360°

or, x = 360/8 = 45°