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sukhopar [10]
4 years ago
10

Look at this diagram:

Mathematics
1 answer:
Talja [164]4 years ago
7 0

Answer:

59.6°

Step-by-step explanation:

if PR and SU are parallel then m<UTQ would be equal to m<PQT

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Read 2 more answers
Find X, and the two angle measures.
Snowcat [4.5K]

Answer:

x = -4

m<LMP = 77°

m<NMP = 103°

Step-by-step explanation:

Straight angles by definition have a total measure of 180°.

This means that m<LMP and m<NMP are 180° together.

Therefore m<LMP + m<NMP = 180°.

[substitution property]

(-16x + 13)° + (-20x + 23)° = 180°

[associative property of addition]

(-36x + 36)° = 180°

-36x + 36 = 180

–36 –36

-36x = 144

÷-36 ÷-36

x = -4

_________________

Since m<LMP = (-16x + 13)°.

Using substitution with x = -4:

m<LMP = (-16(-4) + 13)° = (64 + 13)° = 77°.

Since m<NMP = (-20x + 23)°.

Using substitution with x = -4:

m<NMP = (-20(-4) + 23)° = (80 + 23)° = 103°.

This is true because 77° + 103° = 180°.

5 0
3 years ago
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