1). In the adjoining figure, if I Il m then the value of x is...?
Answers
Given : A figure
l || m
To Find : value of x
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°)
Let say third angle in right angle triangle is y
=> x + y + 90° = 180° Sum of angles of a triangle
=> x + y = 90°
=> y = 90° - x
Alternate Interiors angles are congruent.
=> 35° + y = 78°
=> y = 43°
y = 90° - x
=> 90° - x = 43°
=> x = 47°
Value of x is 47°
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