Question

is the given rectangle the value of x and y where am and DM are equal

Answer 1

I hope u understand.....

Answer 2

Hey there!

Answer:

a) 135°, 45° is correct option

Step-by-step explanation:

Given,

AD = DM

So, ΔAMD is isosceles Δ.

∠ADM = 90°   (∠s of rectangle are of 90°)

∠DAM = ∠DMA = Q   (Base angles of isosceles Δ are equal)

In ΔAMD,

∠DAM + ∠DMA + ∠ADM = 180°

Q + Q + 90 = 180

2x = 180 - 90

Q = 90/2

Q = 45°

∠DAM = ∠DMA = 45°.

Now,

∠DAB = 90°  (∠s of rectangle are of 90°)

∠DAM + ∠MAB = 90°

45 + x = 90

x = 90 - 45

x = 45°

And,

∠DMA + ∠CMA = 180  (straight line property)

45 + y = 180

y = 180 - 45

y = 135°

Hence, option a) 135°, 45° is correct option.

Hope It helps You!