Write and equation for 2 supplementary angles with measures of (2x+5) and (x - 8)
There are 2 complementary nonadjacent angles. One angle is 42. What is the other?
There are 2 vertical angles. Angle A is 72 and B is 3x + 6. Write and solve an equation for x.?
What 2 things must angles share to be considered adjacent angles?
Two complementary angles are expressed in terms of (2x-6) and (2x). Write and solve an equation for x, and give the measure of the 2 angles.
1) The equation for the supplementary angles is:
(2x + 5) + (x - 8) = 180
2) To find the other complementary angle when one angle is 42 degrees, we subtract 42 from 90 degrees (the sum of complementary angles):
90 - 42 = 48 degrees
3) The two things angles must share to be considered adjacent angles are:
- They must have a common vertex (the point where the two lines intersect)
- They must share a common side (one side is a ray of one angle, and the other side is a ray of the other angle)
4) The equation for the two complementary angles is:
(2x - 6) + (2x) = 90
Simplifying the equation:
4x - 6 = 90
4x = 96
x = 24
Substituting the value of x back into the equation:
2x - 6 = 2 * 24 - 6 = 42
2x = 2 * 24 = 48
Therefore, the measure of the two angles is 42 degrees and 48 degrees.