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In the diagram above PQ is parallel to TU PQR 5... - WAEC Mathematics 1995 Question

In the diagram above, PQ is parallel to TU, ∠PQR = 50°, ∠QRS = 86° and ∠STU = 64°. Calculate the value of x.

A
136o
B
120o
C
108o
D
100o
correct option: d

y = 86° - 50° [Alternate ∠s are equal]

y = 86° - 50° = 36°

a = y = 36° [Alternate ∠s]; b = 64° [Alternate ∠s;]

x = a + b = (36° + 64°)

=100°

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