I'LL GIVE BRAINLIEST !!! FASTERplease explain how do you get the answer

Mathematics

2 answers:

lyudmila [28]3 years ago

7 0

Answer:

84°

Step-by-step explanation:

angles in a quadrilateral add to 360°. 360-(114+76)=5x =170°. 170°/5 = 32°. x=32°

angles on a straight line add to 180°.

2x = 64°. 180-64=116°. y=116°.

y-x = 116-32 = 84°

guajiro [1.7K]3 years ago

5 0

Answer:

$78$

Step-by-step explanation:

The inner angles of a quadrilateral all add up to 360. This means we can write the following

$114 + 76 + 3x + 2x = 360\\190 + 5x = 360\\5x = 170\\x = 34$

Now that we have x we can find y. Notice that y and 2x are on the same line. Any line cutting another straight line will create two angles that add up to 180.

Therefore we can write

$2x + y = 180\\2(34) + y = 180\\y = 112$

Finally computing y - x

$y - x = 112 - 34 = 78$

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