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Amanda [17]
3 years ago
6

Find the value of x by filling in the blanks in the provided statement- reason solution

Mathematics
1 answer:
fgiga [73]3 years ago
3 0

Answer/Step-by-step explanation:

Given:

m<MNQ = 132°

m<Q = 54°

m<P = 3x

1. m<MNQ = m<P + m<Q

Reason: exterior angle theorem of a triangle

Plug in the values

2. 132° = 3x + 54°

Reason: Substitution

3. x = 26

Reason: Algebra

132 - 54 = 3x (substraction property of equality)

78 = 3x

78/3 = x (division property of equality)

26 = x

x = 26

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