12. For triangle MNP shown, find the value of xand the measure of each of the three anglesM/(2x – 1)º (2x + 1))​

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°.