Perpendicular lines intersect at right angles, which measure 90 degrees.

Vertically opposite angles are equal. Therefore, the measure of the vertically opposite angle is also 70 degrees.

Vertically opposite angles are equal. Therefore, the measure of the vertically opposite angle is also 35 degrees.

Adjacent angles formed by intersecting lines are supplementary. Therefore, 180 - 70 = 110 degrees.

Alternate interior angles are equal when two parallel lines are cut by a transversal. Therefore, if one angle is 65 degrees, the other alternate interior angle is also 65 degrees.

The Mahatma Gandhi National Rural Employment Guarantee Act (MGNREGA) provides 100 days of guaranteed wage employment in a financial year to every rural household.

Under the PM-KISAN scheme, farmers receive Rs. 6000 annually in three equal installments.

A citizen can approach the Supreme Court under Article 32 for the enforcement of Fundamental Rights.

Article 32 of the Indian Constitution provides the right to constitutional remedies for the enforcement of Fundamental Rights.

The Right to Constitutional Remedies is enshrined in Article 32 of the Indian Constitution.

The Right to Constitutional Remedies is provided under Article 32, allowing individuals to approach the Supreme Court for enforcement of their rights.

The Right to Education is derived from Article 21, which guarantees the right to life and personal liberty.

Article 14 of the Indian Constitution guarantees the Right to Equality, stating that the State shall not deny to any person equality before the law.

The Right to Freedom of Speech and Expression is provided under Article 19 of the Constitution.

The function f(x) = |x| is continuous at x = 0 since both left and right limits equal f(0) = 0.

'Burn the midnight oil' means to work late into the night, usually to study or complete a task.

'Burning the midnight oil' means to stay up late working or studying.

'Cost an arm and a leg' means to be very expensive.

'Costs an arm and a leg' means something is very expensive.

'Costs an arm and a leg' means that something is very expensive.

'Hit the nail on the head' means to describe exactly what is causing a situation or problem.

'Let the cat out of the bag' means to accidentally reveal a secret or a surprise.

'Piece of cake' means something that is very easy to do.

'Spill the beans' means to disclose secret information or to reveal something that was meant to be kept confidential.

'The ball is in your court' means it is now your responsibility to take action or make a decision.

'To break the ice' means to initiate conversation in a social situation, especially among people who have not met before.

'To hit the nail on the head' means to describe exactly what is causing a situation or problem.

'To jump on the bandwagon' means to join others in doing something that is currently popular or fashionable.

'To spill the beans' means to disclose secret information, often unintentionally.

'To throw in the towel' means to give up or admit defeat.