Find ‘x’ in the following figures?


Given: In Δ XYZ, XY XZ, m Y = (2x + 7)° and m Z = 45°

In Δ XYZ,


XY XZ


Y Z (Angles opposite to congruent sides of a


triangle are also congruent)


m Y m Z


(2x + 7)° = 45°


2x + 7 = 45


2x = 45 – 7 (Transposing 7 to RHS)


2x = 38


x = (Transposing 2 to RHS)


x = 19


The value of x is 19°.


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