Apair of parallel lines is cut by a transversal: a pair of parallel lines is cut by a transversal. the interior angle made on the left by the intersection of the upper parallel line and the transversal is divided into 2 parts by a slanting line. one part of this angle is labeled as x, and the other part is labeled as 30 degrees. the interior angle made on the right by the intersection of the lower parallel line and the transversal is labeled as 75 degrees. what is the measure of angle x?

x = 45°

Step-by-step explanation:

It a transversal line intersect two parallel lines, then alternative interior angles are congruent.

From the below graph it is clear that the line m and n are two parallel lines and l is a transversal line.

         (Alternative interior angles)

         (Definition of congruent angles)

Subtract 30° from both sides.

Therefore the measure of angle x is 45°.

step-by-step explanation: the declaration of the rights of man and of the citizen (french: déclaration des droits de l'homme et du citoyen de 1789), set by france's national constituent assembly in 1789, is a human civil rights document from the french revolution.[1]

the declaration was drafted by the abbé sieyès and the marquis de lafayette, in consultation with thomas jefferson.[2] influenced by the doctrine of "natural right", the rights of man are held to be universal: valid at all times and in every place, pertaining to human nature itself. it became the basis for a nation of free individuals protected equally by the law. it is included in the beginning of the constitutions of both the fourth french republic (1946) and fifth republic (1958) and is still current. inspired by the enlightenment philosophers, the declaration was a core statement of the values of the french revolution and had a major impact on the development of freedom and democracy in europe and worldwide.[3]

the 1789 declaration, together with the 1215 magna carta, the 1689 english bill of rights (1689), the 1776 united states declaration of independence, and the 1789 united states bill of rights, inspired in large part the 1948 united nations universal declaration of human rights

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step-by-step explanation: