Question

find find the value of x​

Answer 1

Answer:

80 is the answer of this questions

Hope it helps you....

Answer 2

Answer:

x = 80°

Explained below ↓

Step-by-step explanation:

The figure is an irregular pentagon, so first we find the interior angles,          ( by linear pair )

(i) 180 - 90 = 90°

(ii) 180 - 70 = 110°

(iii) 90° ( Given )

(iv) 180 - 30 = 150°

(v) Let the last interior angle be y,

The sum of the interior angles of any irregular polygon is ( n - 2 ) * 180

Here, there are 5 sides,

Sum of angles = ( 5 - 2 ) * 180 = 3 * 180 = 540°

By angle sum property,

90 + 110 + 90 + 150 + y = 540°

= 440 + y = 540, y = 540 - 440 = 100°

Since x is the linear pair of angle y,

x + y = 180 °

x + 100 = 180 , x = 180 - 100 = 80°

∴ x = 80°

Hope this helps.