Question

Question 18
दो सर्वांगसम त्रिभुजों PQR और DEF में कोण P=कोण
D=45 डिग्री और कोण F= 60 डिग्री हैं। कोण Q का मान
CRITEHTI ?Two congruent triangles PQR and OEF
have angle P = angle D = 45 degree and angle
= 60 degree. What will be the value of angle​

Answer 1

Given:

दो सर्वांगसम त्रिभुजों PQR और DEF में कोण P = कोण D = 45 डिग्री और कोण F = 60 डिग्री हैं।

Two congruent triangles PQR and DEF have angle P = angle D = 45 degrees and angle = 60 degrees.

To find:

कोण Q का मान CRITEHTI ?

What will be the value of the angle​ Q?

Solution:

We know that → When two triangles are congruent then their corresponding angles are equal in measures.

Here we have

Δ PQR ≅ Δ DEF

Therefore,

∠P = ∠D = 45° (given)

∠F = ∠R = 60° [since ∠F = 60° is given]

∠Q = ∠E

Now, in Δ PQR, using the angle sum property, we get

∠P + ∠Q + ∠R = 180°

⇒ 45° + ∠Q + 60° = 180°

⇒ ∠Q = 180° - 105°

⇒ ∠Q = 75°

Thus, the value of angle Q is → 75°.

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