1 Answer

Abmv · Answer 1 · 2019-08-26T07:23:22+0000

Answer:

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

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:

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

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

$3x=69^\circ$

$x=(69)/(3)=23^\circ$

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