Given ∆JPO ≈ ∆SMR, solve for the values of v, w, x, y and z.
Tamang Sagot = Brainliest​


Given JPO SMR Solve For The Values Of V W X Y And ZTamang Sagot Brainliest class=

Sagot :

[tex]\bold{SOLUTION}:[/tex]

[tex]\textsf{Given : Find the z.}[/tex]

[tex]\sf{JP = MS}[/tex]

[tex]\boxed{\sf{z = 10cm}}[/tex]

[tex]\textsf{Given : Find the v.}[/tex]

[tex]\sf{JO = RS}[/tex]

[tex]\sf{25 = v}[/tex]

[tex]\boxed{\sf{v= 25cm}}[/tex]

[tex]\textsf{Given : Find the y.}[/tex]

[tex]\sf{∠P = ∠M = 90°}[/tex]

[tex]\sf{∠J = ∠S}[/tex]

[tex]\boxed{\sf{y = 65°}}[/tex]

[tex]\textsf{Given : Find the x.}[/tex]

[tex]\sf{Δ JPO,}[/tex]

[tex]\sf{∠J + ∠P + ∠O = 180 }[/tex]

[tex]\sf{65 + 90 + x = 180 }[/tex]

[tex]\sf{x = 180 - 155}[/tex]

[tex]\boxed{\sf{x = 25°}}[/tex]

[tex]\textsf{Given : Find the w.}[/tex]

[tex]\sf{Δ SMR,}[/tex]

[tex]\sf{∠J + ∠P + ∠O }[/tex]

[tex]\sf{w + 90 + 60 = 180 }[/tex]

[tex]\sf{w = 180 - 155}[/tex]

[tex]\boxed{\sf{w = 25°}}[/tex]

[tex]\bold{ANSWER}:[/tex]

[tex]\begin{gathered} \begin{array}{l}\sf{v = 25 cm} \\ \sf {w = 25°} \\ \sf {w = 25°} \\ \sf {y = 65°} \\ \sf {z = 10cm}\end{array}\end{gathered}[/tex]

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