hawadido2006 hawadido2006
  • 20-03-2022
  • Mathematics
contestada

Work out the value of the missing angle x.

Work out the value of the missing angle x class=

Respuesta :

semsee45
semsee45 semsee45
  • 20-03-2022

Answer:

x = 5°

Step-by-step explanation:

Linear pair: a pair of adjacent angles formed when two lines intersect. The two angles are always supplementary and so their measures sum to 180°.

If the side of a polygon is extended, the angle formed outside the polygon is the exterior angle.  The sum of the exterior angles of a polygon is 360°.

Sum of exterior angles:

⇒ 45° + 90° + 25° + 90° + x° + (180° - 140°) + (180° - 115°) = 360°

⇒ 355° + x° = 360°

⇒ x = 5°

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