Let angle 1 and angle 2 are acute vertical angles. angle 3 is an obtuse angle adajcent to both angle 1 and 2. what is the sum of the measure of angle 1 and the measure of angel 3?

Twice the sum of a number and 4 is equal to three times the difference of the number and 7. find the number.

The base of a triangle exceeds the height by 9 inches. if the area is 180 square inches, find the length of the base and the height of the triangle.

Each person in an it department of 25 people works on at least one of 3 major projects: system security, program implementation, platform development. 10 people work on system security, 13 work on program implementation, and 12 work on platform development. 4 people work on system security and platform development, 5 people work on program implementation and platform development, and 2 people work on all three projects. how many people work on system security and program implementation?