Question

find X and y in the given figure.​

Answer 1

Answer:

♦ x = 120°

♦ y = 120°

Step-by-step explanation:

The sum of linear pair of angles is always equal to 180° as they are adjacent to each other.

∠BCD and ∠BCE are adjacent angles and hence they form a liner pair of angles in the given figure.

=> 60° + y = 180° ( Linear pair of angles )

=> y = 180° - 60°

=> y = 120°

The two pairs of angles ( ∠y and ∠x ) are alternate interior angles which are equal.

=> y = x = 120° ( Alternative angles are equal )

Some more properties:

• Corresponding angles are equal.

• Co-interior angles are supplementary.

• The sum of two adjacent angles is equal to 180°.

• Vertically opposite angles are equal.

━━━━━━━━━━━━━━━━━━━━━