Question

in the following figure ,ABCD is a parallelogram. find the values of x,y and z ​

Answer 1

Answer:

x = 3

∠y = 152∘

∠z = 28∘

Step-by-step explanation:

Given: ABCD is parallelogram.  

Opposite sides of a parallelogram are equal.  

So 2x + 2 = 3x - 1  

x = 3.  

Opposite angles of a parallelogram are equal.  

∠B = ∠D = 102∘  

In △ADC, ∠y = 50∘ + ∠D (Ext. angle property of  △)  

∠y = 50∘ + 102∘ = 152∘  

Again, ∠D + ∠A = 180∘  

50∘ + ∠z +102∘ = 180∘  

∠z = 28∘

.Hence solved.