Question

In rectangle ABCD what are the values of y and z?

A y = 5; z = 55
B y = 5; Z = 5
C y = 35; z = 55
D y = 55; z = 5

Answer 1

The answer is option A.

∆BDC is a right angled triangle

Angles in a triangle add up to 180°

That's

z + 35 + 90 = 180°

z = 180 - 35 - 90

z = 55°

Alternate angles are equal

Angle DBC = Angle BDA

That's

35 = 7y

Divide both sides by 7

y = 5

y = 5 z = 55

Hope this helps you