Question

Please please helppppp

Answer 1

BN = 9cm

TW = 14cm

BF = 17cm

m∠W = 82°

m∠B = 67°

m∠F= 31°

Explanation:

Given:

∆STW ≅ ∆BFN

To find :

Measure of corresponding angles and sides

Solution:

We know that congruent triangles have corresponding angles and sides that are equal. Therefore, we can write the following equations:

BN = SW

TW = FN

BF = ST

m∠W = m∠N

m∠S = m∠B

m∠F = m∠T

We are also given that ∆STW ≅∆BFN. Therefore, we can substitute the following values into the equations above:

BN = SW = 9cm

TW = FN = 14cm

BF = ST = 17cm

m∠W = m∠N = 82°

m∠S = m∠B = 67°

Solving for the remaining values, we get:

Since interior angle of a triangle is 180°

m∠F = 180° - (67° + 82°) = 180° - 149° = 31°

Therefore, the corresponding angles and sides of ∆STW and ∆BFN are as follows:

• BN = SW = 9cm
• TW = FN = 14cm
• BF = ST = 17cm
• m∠W = m∠N = 82°
• m∠S = m∠B = 67°
• m∠T = m∠F= 31°

Answer 2

• BN = 9cm
• TW = 14cm
• BF = 17cm
• m∠W = 82°
• m∠B = 67°
• m∠F = 31°

Given :

• ΔSTW ≅ ΔBFN

To find :

• Measure of corresponding angles and sides

Solution :

When two triangles are congruent,their corresponding angles and sides become equal and this property is called corresponding parts of corresponding triangles or c.p.c.t .

Therefore,

• BN = SW = 9cm
• TW = FN = 14cm
• BF = ST = 17cm
• m∠W = m∠N = 82°
• m∠B = m∠S = 67°
• m∠F = 180° - (67° + 82°) = 180° - 149° = 31°

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