Question

Find x and y in the following figure
​

Answer 1

Answer:

60=× 30=y beause sum of triangle is 180 so 180- 30 +90=60

Answer 2

Given: ABCD is a rhombus. AC and BD are its 2 diagonals intersecting at O.

Solution: we know that diagonals of a rhombus intersect at 90°. so, angleAOB = 90°

In ∆ AOB,

=>angleAOB + angleOAB + angleOBA = 180°

(angle sum property of ∆)

=>90° + 30° + angleOBA = 180°

=> 120° + angleOBA = 180°

=> angleOBA = 180° - 120°

=> angleOBA = 60° = x°

Now, in ∆ ABD,

AB = AD (all sides of a rhombus are equal)

=> x° = y° ( angles opposite to equal sides)

Therefore, x° = y° = 60°

I hope it helps you.