In Fig. 6.44, if RP = RQ, find the value of x.

Solution:

Given, PQR is a triangle.

Also, RP = RQ

We have to find the value of x.

We know that the vertically opposite angles are equal.

From the figure,

∠RPQ = ∠1

So, ∠1 = 50°

We know that the angles opposite to the equal sides are equal.

Now, ∠1 = ∠x

So, ∠x = 50°

Therefore, the value of x is 50°.

✦ Try This: In each of the given pairs of triangles of Fig. 6.43, using only RHS congruence criterion, determine which pairs of triangles are congruent. In case of congruence, write the result in symbolic form:

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 6

NCERT Exemplar Class 7 Maths Chapter 6 Problem 136

In Fig. 6.44, if RP = RQ, find the value of x.

Summary:

In Fig. 6.44, if RP = RQ, the value of x is 50°.

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