in the figure X is
(a) 40°
(b) 50°
(c) 127°
(d) 53°
Answers
Given : A triangle
To Find : ∠x
(a) 40°
(b) 50°
(c) 127°
(d) 53°
Solution:
Properties of angles formed by transversal line with two parallel lines :
• Corresponding angles are congruent.
• Alternate angles are congruent. ( Interiors & Exterior both )
• Co-Interior angles are supplementary. ( adds up to 180°)
AB || CD , PQ is transversal
Alternate angles are congruent
∠x = 50°
127° = ∠x + ∠y Exterior angle of triangle = Sum of opposite two interior angles
=> 127° = 50°+ ∠y
=> ∠y = 77°
∠x = 50°
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Answer:
b 5
Step-by-step explanation:
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