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∠XY W and ∠XYZ form a linear pair. If ∠XY W 30 degrees more than twice of ∠XYZ, what are the measures of the two angles?

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∠XY W and ∠XYZ form a linear pair. If ∠XY W is 30 degrees more than twice of ∠XYZ, what are the measures of the two angles?

Solution:

Let ∠XY W = a; ∠XYZ = 2a + 30

[tex]a + 2a + 30 = 180 \\ 3a + 30 = 180 \\ 3a = 150 \\ a = 50[/tex]

This means that ∠XY W is 50°.

[tex]2a + 30 \\ 2(50) + 30 \\ = 130[/tex]

Therefore, ∠XYZ = 130°

Answer:

50° = ∠XY W

130° = ∠XYZ

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