# Geometry

posted by Chris

A museum was designed without windows, but a truncated cylindrical skylight lightens the building. In the development of this, the architect has areas where the angles formed at junctures are vertical angles.

If a pair of vertical angles measures 5x - 54 and 3x -24, find the measures of the angles.

1. Steve

since vertical angles are equal,
5x-54 = 3x-24
2x = 30
x = 15

The angles are 21 degrees

## Similar Questions

1. ### Geometry

There is something wrong with this definition for a pair of vertical angles: "If line AB and line CD intersect at point P, then angle APC and angle BPD are a pair of vertical angles. What is wrong?
2. ### Geometry

draw a pair of vertical angles with a measure of 40. create and label the vertical angles with algebraic expressions involving x.
3. ### math

There is something wrong with this definition for a pair of vertical angles: “If AB and CD intersect at point P, then APC and BPD are a pair of vertical angles.” Sketch a counterexample to show why it is not correct. Can you add …
4. ### geometry

There is something wrong with this definition for a pair of vertical angles: “If AB and CD intersect at point P, then APC and BPD are a pair of vertical angles.” Sketch a counterexample to show why it is not correct. Can you add …
5. ### Math

Which of the following correctly lists angle pairs that have the same sums of 180 degrees & 90 degrees?
6. ### Geometry

Two lines intersect so that angle 1 and angle 3 are vertical angles, angle 2 and angle 4 are vertical angles, and angle 1 and angle 2 form a linear pair. how do you slove for x and find the measure of all the angles when angle 2= x …