Given: ALMN and APQR are isosceles.M(2r - 26)°e(x + 16)LNPRFor what mZP is ALMN = APQR?42°58°61°69°

Question:
Solution:
Remember that there are five ways to find if two triangles are congruent. One of them is SAS (side, angle, side). According to this, we get the following equation:
[tex]2x\text{ - 26 = x +16}[/tex]now, putting together similar terms we obtain:
[tex]2x\text{ - x = 16 +26}[/tex]this is equivalent to:
[tex]x\text{ = 42}[/tex]so that, we can conclude that the correct answer is:
[tex]\text{ 42}^{\circ}[/tex]