Question

What is the measure of

Answer 1

here,

<y +<z = 150 ° ( sum of two sides of interior angle is equal to exterior angle)

or,65°+<x=150°

or, <x=150°-65°

or, <X = 85°

Now,

<x +<y+<z=180° [ the sum of three angles of a triangle is 180°]

or, < x+65°+85°=180°

or, <x =180°-150°

or,< x=30°

Then,

<x+<y=<z

30° +65° =95 °

or, 180° -95° = 85 °

To get <XZW,

180° - 85 ° = 95°[ The exterior angle is equal to the differnce of 2 interior angles through 180 °]