Question

find the value of x
​

Answer 1

Answer:

173

Step-by-step explanation:

its a complete angle = 360

31+19+5+59+x+17+3+53 = 360

x + 187 = 360

x = 360-187 = 173

Answer 2

Answer:

The value of x will be 173.

To find:

The value of x

Solution:

We know that a complete circle will make up to 360° and a semi-circle makes up 180°

Here, a complete circle is given with one part of the circle x is missing.

Total angle of the circle =360°

Given the angles are 31°, 19°, 5°, 59°, 17°, 3°, 53° along with an unknown x°

Then, their sum will be 360°

$\begin{array} { c } { 31 ^ { \circ } + 19 ^ { \circ } + 5 ^ { \circ } + 59 ^ { \circ } + 17 ^ { \circ } + 3 ^ { \circ } + 53 ^ { \circ } + x ^ { \circ } = 360 ^ { \circ } } \\\\ { x ^ { \circ } + 187 ^ { \circ } = 360 ^ { \circ } } \\\\ { x ^ { \circ } = 360 ^ { \circ } - 187 ^ { \circ } } \\\\ { x ^ { \circ } = 173 ^ { \circ } } \end{array}$

Thus, the value of x will be 173 in the given circle.