Assume that- - RST - XYZ- Find the congruent angles of - R- - S- - T

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Standard IX

Mathematics

Application of Similarity

Assume that, ...

Question

Assume that, $Δ R S T \sim Δ X Y Z$ . Find the congruent angles of $∠ R, ∠ S, ∠ T$

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Solution

For similar triangles, corresponding angles are congruent.
Hence,
$∠ R ≅ ∠ X$
$∠ S ≅ ∠ Y$
$∠ T ≅ ∠ Z$

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Similar questions

$△ R S T \sim △ X Y Z .$ In $△ R S T$ , $R S = 4.5$ cm, $∠ R S T = 40^{\circ}$ , $S T = 5.7$ cm Construct $△ R S T$ and $△ X Y Z$ , such that $\frac{R S}{X Y} = \frac{3}{5}$ .

Δ R S T \sim Δ X Y Z

. In

Δ R S T

, RS = 4.5 cm,

∠ R S T

= 40° and ST = 5.7 cm.

Δ R S T

and

Δ X Y Z

constructed such that

\frac{S T}{Y Z} = \frac{3}{5}

.

Then XY = ______ cm.

Q. In ∆RST, m∠R = 70° and m∠S = 30°. Find m∠T.

Q. In

Δ R S T, ∠ S = 90^{o}, ∠ T = 45^{o}, R T = 12 c m

. Find

R S

and

S T

Q. In ∆RST, ∠S = 90°, ∠T = 30°, RT = 12 cm then find RS and ST.

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Assume that, ΔRST∼ΔXYZ. Find the congruent angles of ∠R,∠S,∠T

For similar triangles, corresponding angles are congruent.Hence,∠R≅∠X∠S≅∠Y∠T≅∠Z

Assume that, $Δ R S T \sim Δ X Y Z$ . Find the congruent angles of $∠ R, ∠ S, ∠ T$

For similar triangles, corresponding angles are congruent.
Hence,
$∠ R ≅ ∠ X$
$∠ S ≅ ∠ Y$
$∠ T ≅ ∠ Z$