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Free_Kalibri [48]
3 years ago
13

I will upvote and give brainliest answer

Mathematics
1 answer:
Lana71 [14]3 years ago
7 0

Answer:

x = 58°

Step-by-step explanation:

Fact 1) Recall the fact that angles in a triangle add to 180°

Fact 2) Recall the fact that angles on a straight line add to 180°

The first angle we can work out is BAC using fact 2

114 + ? = 180

? = ( 180 - 114 )

? = 66

∠ BAC = 66

Now that we have angle BAC we can utilise the fact angles in a triangle add to 180°, so we can set this equation up

x + 66° + 56° = 180°

x + 122° = 180°

x = ( 180 - 122 )

x = 58°

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