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nordsb [41]
4 years ago
8

The folding chair has different settings that change the angles formed by its parts. Suppose m∠2 is 31 and m∠3 is 65. Find m∠1.

The diagram is not to scale.

Mathematics
1 answer:
harkovskaia [24]4 years ago
3 0

Answer:

m∠2=31

m∠3=65

m∠1=?

Notice that measure of angle 2,3 and the angle that's next to angle 1 will form a triangle. Let's name the angle next to 1 to be x.

31+65+x = 180

96+x = 180

x = 180-96

x = 84

Now, you can easily find the m∠1.

84+m∠1 = 180        (REASON: Linear pair)

m∠1 = 180-84

m∠1 = 96

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