Question

Find the angel of X

plz give fast​

Answer 1

Process:

• Find the sum of the interior angles on this irregular pentagon
• find the two missing angles (aside from x)
• add the three angles (aside from x)
• subtract the sum from the sum of interior angles of an irregular pentagon

Solution:

To find the sum of interior angles on this irregular pentagon

• formula: 180° x (n-2), "n" is the number of sides of a polygon
• 180 x (7-2)=
• 180 x 3
• 540
• the sum of interior angles of this irregular pentagon is 540°

Find the two missing angles (aside from x)

• the two missing angles are beside  70° and 60°
• We all know that a straight line angle is 180°
• so the first angle is, 180° - 70° = 110°
• the last angle is, 180° - 60° = 120°
• the two missing angles are 110° and 120°

Add the known angles inside the irregular pentagon

• 30° + 110° + 120° =  260°
• the total known angle inside the irregular pentagon is 260°

Subtract 260° from 540°, then divide by 2 because there are 2 "x"

• (540° - 260°) / 2
• 280° / 2
• 140°
• So x is 140°

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Formula:

$[(180-70)+(180+60)] + 30 + x + x = 540$

          $[110+(180+60)] + 30 + x + x = 540$

                   $(110+120) + 30 + x + x = 540$

                               $230 + 30 + x + x = 540$

                                       $260 + x + x = 540$

                                           $260 + 2x = 540$

                                  $260 - 260 + 2x = 540 - 260$

                                                     $2x = 280$

                                                     $\frac{2x}{2x} = \frac{280}{2x }$

                                                      $x = 140$

(Hope you mark this as brainiest :)