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1. In the following figure, ∠1 + ∠2 + ∠3 = 230°, then the measure of ∠4 is equal to
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130°
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80°
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65°
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90°
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Explanation
Hint:
∠ 4 = 360° - 230° = 130°.
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2. In the following figure EF || GH. Then, the measure of ∠x is equal to
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30°
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45°
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60°
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40°
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Explanation
Hint:
(x + 30°) + 120° = 180° ⇒ x = 30°.
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3. In the following figure, l || m. Find the measure of ∠ x.
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60°
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45°
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30°
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none of these
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Explanation
Hint:
x + x + 60° = 180° ⇒ x = 60°.
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4. In the following figure, AB || DG and BC || EF. Also, ∠ABC = 60°. Then, the measure of ∠DEF is
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30°
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60°
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45°
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120°
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Explanation
Hint:
∠DEF = ∠DGC = ∠ABC = 60°.
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5. Find the value of x in the following figure, if l || m.
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30°
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45°
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60°
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none of these
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Explanation
Hint:
x + 120° = 180° ⇒ x = 60°.