Question

In the given figure, the value of x and y respectively is:

Answer 1

x = 85

y = 65

Explanation:

By interior angle sum property of a triangle.

y° + 25° + 90° = 180°

y° + 115° = 180°

y° = 180° - 115°

y° = 65°

y = 65

By remote interior angle theorem of a triangle:

x° = y° + 20°

x° = 65° + 20° (since y = 65)

x° = 85°

x = 85