It is given that ️PQR & ️UVW are congruent to each other. According to CPCT, the corresponding angles in 2 triangles willl have the same measure. So, ∠R = ∠W, i.e, (10x - 18)° = 8x°
[tex]\mathfrak{10x - 18 = 8x} [/tex]
[tex]\mathfrak{10x - 8x = 18} [/tex]
[tex]\mathfrak{2x = 18} [/tex]
[tex]\mathfrak{x = \dfrac{18}{2}} [/tex]
[tex]\underline{\mathfrak{x = 9}} [/tex]
Measure of ∠R :
[tex]\mathfrak{8x} [/tex]
[tex]\mathfrak{8(9)} [/tex]
[tex]\boxed{\mathfrak{72^{\circ}}} [/tex]
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