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aleksandr82 [10.1K]
3 years ago
13

Given △PQR≅△STU, m∠R=80°, and m∠S=70°, what is the measure of ∠Q?

Mathematics
2 answers:
anygoal [31]3 years ago
7 0
Was it right i am doing the same stuff i need help
Dahasolnce [82]3 years ago
5 0
∆ PQR is congruent to ∆ STU

This means --
P = S
Q = T
R = U

R = 80°
S = P = 70°

So in ∆PQR, we know R = 80° , P = 70° and Q = ?

Using angle sum property of triangle,
P+ Q + R = 180°
70° + 80° + Q = 180°
150° + Q = 180°
Q = 30°

Hope This Helps You!
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If JL = 30, JK = 18, and LM = 6, then the value of LN is:
harina [27]

Answer:

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Step-by-step explanation:

The arrows on the line segments indicate they are parallel.

\implies \overline{KM} \parallel \overline{JN}

<u>Triangle Proportionality Theorem</u>

If a line parallel to one side of a triangle intersects the other two sides of the triangle, then it divides these two sides <u>proportionally</u>.

\textsf{If }\overline{KM} \parallel \overline{JN}, \textsf{ then }\dfrac{LK}{LJ}=\dfrac{LM}{LN}

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