Q136 of 158 Page 159

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

Given:


Formula Used/Theory:-


If 2 sides are equal then triangle is Isosceles triangle


In isosceles triangle base angles of triangles are also equal


In Δ PQR


As QR = PR


Then;


∠PQR = ∠QPR


∠QPR = 50° (By vertical opposite angle)


∠PQR = x = 50°


Result:- the value of x comes out to be 50°


More from this chapter

All 158 →
134

In each of the given pairs of triangles of Fig. 6.42, applying only ASA congruence criterion, determine which triangles are congruent. Also, write the congruent triangles in symbolic form.



 135

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:



 137

In Fig. 6.45, if ST = SU, then find the values of x and y.

 138

Check whether the following measures (in cm) can be the sides of a right-angled triangle or not.

1.5, 3.6, 3.9