Answer:
[tex]x=36\°\\\angle P=71 \°,\angle N=73 \°,\angle M=36 \°[/tex]
Step-by-step explanation:
Given:
The triangle is shown below.
We know that the sum of all interior angles of a triangle is equal to 180°.
Therefore,
[tex]\angle M+\angle N+\angle P=180 \°\\\\x+2x+1+2x-1=180\°\\\\5x=180\°\\\\x=\frac{180}{5}\\\\x=36\°[/tex]
Now, plugging the value of 'x' in each angle measure and determining its values. We get:
[tex]\angle M=x=36\°\\\angle P=2x-1=2(36)-1=72-1=71\°\\\angle N=2x+1=2(36)+1=72+1=73\°[/tex]
Therefore, the value of 'x' is 36° and the measure of the three angles are 36°, 71° and 73°.
