16. In the given figure AB||CD the value of x
Answers
Given : AB||CD
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°)
Draw a line parallel to AB and CD passing through the vertex at angle x
dividing it in 2 angles a and
∠a = 35° Interior Alternate angles are congruent.
∠b + 140° = 180° • Co-Interior angles are supplementary
=> ∠b = 40°
∠x = ∠a + ∠b
=> ∠x = 35° + 40°
=> ∠x = 75°
Learn More:
If ABC and PQR are two parallel line, then prove that the bisector of ...
brainly.in/question/13868130
In a diagram shown here , there are 3 squares between 2 parallel ...
brainly.in/question/13144188