To adjacent angles from a resulting angle with measure of 160° is M would be angle sign one equals 3X and M with the adjacent sign two equals 2X +10 solve 4X what are the two unknown angles measurements and they have M with the adjacent sign one equals blank and M with the adjacent sign or angles sign to equals blank what's the answers?
Let's solve the problem step by step:
1) From the given information, we know that the resulting angle (M) measures 160°.
2) We also know that the adjacent angle to M, denoted as Angle 1, has a measure of 3x.
3) Similarly, the adjacent angle to M, denoted as Angle 2, has a measure of 2x + 10.
4) We need to find the values of x, Angle 1 measure, and Angle 2 measure.
To solve the equation, since Angle 1 and Angle 2 are adjacent to M, we can use the property that the sum of the measures of adjacent angles is equal to the measure of the resulting angle.
5) Set up the equation:
Angle 1 + Angle 2 = M
3x + (2x + 10) = 160
6) Solve the equation:
Combine like terms: 3x + 2x + 10 = 160
Combine the variables: 5x + 10 = 160
Solve for x: 5x = 150
x = 30
7) Now that we know x is equal to 30°, we can find the measure of Angle 1 and Angle 2.
Angle 1 = 3x = 3 * 30 = 90°
Angle 2 = 2x + 10 = 2 * 30 + 10 = 60 + 10 = 70°
Therefore, the two unknown angle measurements are:
M with the adjacent Angle 1 = 90°
M with the adjacent Angle 2 = 70°