Chapter 4: Q7. (page 120)

If $Δ D E F ≅ Δ R S T, m ∠ D = 100$ and $m ∠ F = 40$ . Name four congruent angles.

Short Answer

Expert verified

The four congruent angles are $m ∠ R = 100, m ∠ E = 40, m ∠ S = 40 a n d m ∠ T = 40$ .

Step by step solution

Step 1. Apply the concept of congruent triangles.

For the congruent triangles their corresponding sides and angles are equal.

Step 2. Step description.

Consider that $Δ D E F ≅ Δ R S T$ , $m ∠ D = 100$ and $m ∠ F = 40$ .

In $Δ D E F$ , $m ∠ D = 100$ and $m ∠ F = 40$ .

Therefore, from angle sum property

$\begin{matrix} m ∠ E = 180 - (100 + 40) \\ = 180 - 140 \\ = 40 \end{matrix}$

Therefore $Δ D E F ≅ Δ R S T$

Step 3. Step description.

As the congruent triangles their corresponding sides and angles are equal. Thus $D \leftrightarrow R$ , $E \leftrightarrow S$ , $F \leftrightarrow T .$

Therefore, the four congruent angles are as follows

$m ∠ R = 100, m ∠ E = 40, m ∠ S = 40 a n d m ∠ T = 40$

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If $Δ D E F ≅ Δ R S T, m ∠ D = 100$ and $m ∠ F = 40$ . Name four congruent angles.

Short Answer

Step by step solution

Step 1. Apply the concept of congruent triangles.

Step 2. Step description.

Step 3. Step description.

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If ΔDEF≅ΔRST,m∠D=100and m∠F=40. Name four congruent angles.

Short Answer

Step by step solution

Step 1. Apply the concept of congruent triangles.

Step 2. Step description.

Step 3. Step description.

One App. One Place for Learning.

Most popular questions from this chapter

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If $Δ D E F ≅ Δ R S T, m ∠ D = 100$ and $m ∠ F = 40$ . Name four congruent angles.