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marshall27 [118]
3 years ago
8

Someone please solve. I keep getting 66 but it's wrong.​

Mathematics
2 answers:
sashaice [31]3 years ago
7 0

The unlabeled part of the right angle is complementary to 68 degrees, so 22 degrees. y is supplementary to 78 degrees, so 102 degrees.  z as the third angle in the small triangle is 180 less than the sum of the other two,

z = 180 - 22 - 102

Answer: 56 degrees

atroni [7]3 years ago
7 0

Answer:

56 degrees.

Step-by-step explanation:

x = 180 - (68+78)

=  34 degrees  ( as there are 180 degrees in a triangle).

Consider the large right-angled triangle:

z = 180 - (90 + x)

= 180 - (90 + 34)

= 180 - 124

= 56 degrees.

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- ∡2 ⇔ ∡6
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We're given the angle of ∡7, which is 114°.  We can see that ∡7 + ∡8 will equal to 180° (since line b is a straight line) and since ∡8 ⇔ ∡4, we can deduct that ∡7 + ∡4 = 180°.

From here, it's just imputing the information and solving.
⇒ 114° + ∡4 = 180°
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3 years ago
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6 0
4 years ago
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ser-zykov [4K]

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