Two intersecting lines, create four angles with the same vertex labeled a BCND angle B is adjacent to angle ANC find M angle AM angle C equals 75°
To create the four angles with the same vertex, label the points as follows:
First line: A ----- B
Second line: C ----- D
The intersection point of the two lines is labeled N.
The given information is as follows:
- Angle C is 75°.
- Angle B is adjacent to angle ANC.
To find angle AM, we need to use the fact that adjacent angles on a straight line add up to 180°.
Since angles C and B are adjacent, angle B + angle C = 180°.
Given that angle C = 75°, we can substitute this value into the equation:
Angle B + 75° = 180°.
To isolate angle B, we subtract 75° from both sides of the equation:
Angle B = 180° - 75° = 105°.
Therefore, angle B is 105°.
To find angle AM, we need to use the fact that angles on a straight line add up to 180°. In this case, angle B and angle AM are on a straight line. So, angle B + angle AM = 180°.
Given that angle B = 105°, we can substitute this value into the equation:
105° + angle AM = 180°.
To isolate angle AM, we subtract 105° from both sides of the equation:
Angle AM = 180° - 105° = 75°.
Therefore, angle AM is 75°.