hyarrisonperez4566 hyarrisonperez4566
  • 08-01-2020
  • Mathematics
contestada


what is the value of x?
a. 100°
b. 120°
c. 130°
d. 150°

what is the value of x a 100 b 120 c 130 d 150 class=

Respuesta :

jimrgrant1 jimrgrant1
  • 08-01-2020

Answer:

C

Step-by-step explanation:

Each interior angle forms a straight angle with the given angles and are supplementary, thus

Calculate the 3 interior angles by subtracting each angle from 180

180 - 56 = 124°

180 - 34 = 146°

180 - 140 = 40°

The sum of the interior angles of a quadrilateral is 360°, thus

fourth interior angle = 360° - (124 + 146 + 40)° = 360° - 310° = 50°

Hence x = 180 - 50 = 130° → C

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