Equilateral pentagon of δ can be seen from the figure: Simplifying, δ is obtained as function of α and β: The remaining angles of the pentagon can be found geometrically: The remaining angles of the orange and blue triangles are readily found by noting that two angles of an isosceles triangle are equal while all three angles sum to 180°. Then formula_7 and the two remaining angles of the green triangle can be found from four equations stating that the sum of the angles of the pentagon is 540°, the sum of the angles of the green triangle is 180°, the angle
Secretariat of the Interior States of America) and is occasionally translated to English as Ministry, Secretariat or Department of the Interior. In 1821, after the establishment of what was then the Mexican Provisional Cabinet (Junta Gubernativa Provisional), and given public urgings to organise the country's government, regulation was produced outlining the functions of a new governmental arm, then styled "The Office for Domestic and Foreign Affairs". The new agency was answerable for managing the functioning of the government in general. The first person to take up the Directorship of the Office was José Manuel de Herrera who held the post between 1821 and 1823.