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kondaur [170]
3 years ago
7

In the figure below, ray MP and ray MQ both intersect line LN.

Mathematics
1 answer:
kolezko [41]3 years ago
8 0

Answer:

<em>x = 20°</em>

Step-by-step explanation:

<u>Lines and Angles</u>

Rays PM and MQ divide the straight-line LN angle of 180° into three angles: 45°, 6x-5, and x.

Thus, we have:

45 + 6x - 5 + x = 180

Simplifying:

40 + 7x = 180

Subtracting 40:

7x = 180 - 40

7x = 140

Dividing by 7:

x = 140/7 = 20

x = 20°

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