Question

In given figure, PQRS is rhombus find the value of a and b​

Answer 1

Answer:

35 and 55

Step-by-step explanation:

We know, diagonals of rhombus bisect the angles.

So, angle SRQ = 2a and angle RQP = 2b

Now, angle SRQ + angle RQP = 180 degree [co-interior angles]

So, 2a + 2b = 180 => a + b = 90

angle SPQ + angle PSR = 180 degree [co-interior angles]

So, angle PSR = 110 degrees

angle SPR = 70/2 = 35 degree

angle PSR + angle SPR + angle PRS = 180 degrees

So, a = 35

So, b = 90 - 35 = 55