In given figure, I,m and n are Parallel lines intersected by transversal p at x, and Z respectively, Find <1,<2,<3.
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In given figure, I,m and n are Parallel lines intersected by transversal p at x, and Z respectively, Find <1,<2,<3.
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Answer:
From figure: ∠Y = 120° [Vertical opposite angles] ∠3 + ∠Y = 180° [Linear pair angles theorem] ∠3 = 180 – 120 ∠3 = 60° Line l is parallel to line m, ∠1 = ∠3 [ Corresponding angles] ∠1 = 60° Also, line m is parallel to line n, ∠2 = ∠Y [Alternate interior angles are equal] ∠2 = 120° Answer: ∠1 = 60°, ∠2 = 120° and ∠3 = 60°.
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Answer:
<1= 60° <2= 120° <3=60°
Step-by-step explanation:
<3+120°= 180° ( linear pair)
<3=120-180
<3=60°
<3=<1 ( corresponding angles are equal)
<1= 60°
<2 = 120° ( alternate interior angle)