#### Question

Find the value of the unknowns *x* and *y* in the following diagram:

#### Solution

*y* = 90° (Vertically opposite angles)

*x *+ *x *+ *y* = 180° (Angle sum property)

2*x* + *y* = 180°

2*x* + 90° = 180°

2*x* = 180° − 90° = 90°

x = `90^@/2 = 45^@`

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Solution Find the Value of the Unknowns X And Y In the Following Diagram: - 5 Concept: Angle Sum Property of a Triangle.