Mathematics

In the diagram above, PQ is parallel to TU, ∠PQR = 50°, ∠QRS = 86° and ∠STU…

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
  • E.
    96o
Correct Answer: Option D
Explanation

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°