ShouryaX681639 ShouryaX681639
  • 26-10-2022
  • Mathematics
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Given: ALMN and APQR are isosceles.M(2r - 26)°e(x + 16)LNPRFor what mZP is ALMN = APQR?42°58°61°69°

Given ALMN and APQR are isoscelesM2r 26ex 16LNPRFor what mZP is ALMN APQR42586169 class=

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JaidenceS330894 JaidenceS330894
  • 26-10-2022

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]

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