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hammer [34]
3 years ago
6

PLEASE HELP ME WITH THESE FOUR QUESTIONS TYSMMM!!! THANK YOU

Mathematics
1 answer:
Dima020 [189]3 years ago
8 0

Answer:

107^\circ, 133^\circ, 20^\circ, \text{and}, 23^\circ

Step-by-step explanation:

9. For the lines 'm' and 'n' to be parallel the sum of interior angles should be 180 degrees that is:

x+73^\circ=180^\circ

x=107^\circ

10. For the lines  'm' and 'n' to be parallel the alternate exterior angles should be equal that is:

147^\circ=x+14^\circ

x=147^\circ-14^\circ

x=133^\circ

11. For the lines  'm' and 'n' to be parallel alternate angles should be equal that is:

180^\circ-3x=2x+20^\circ

Solving for 'x' we get:

180^\circ-20^\circ=3x+2x

5x=160^\circ

x=32^\circ

12. For the lines  'm' and 'n' to be parallel corresponding angles should be equal that is:

(7x-11)^\circ=(4x+58)^\circ

7x-4x=58^\circ+11^\circ

3x=69^\circ

x=\frac{69}{3}=23^\circ

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