Question

find the measures of x y and z in the figure whre /11 bc

Answer 1

Hello So Let's get start,

Given : ∠A(1) = 75°
∠A(2) = 45°

To Find : X, Y, Z

Sol. A ray passing through point A is forming Linear Equation 
So we can say ∠A(1)+∠A(2)+x = 180°
∴ 75+45+x = 180°
180-120 = x
60°=x 

Now ∠A(1) = Y and ∠A(2) = Z

So Y = 75° and Z = 45°

∴ X = 60°, Y = 75°, Z = 45°


Proof : We know sum of all sides of Triangle is 180°
So X+Y+Z = 180°
∴ 60°+75°+45°=180°
180°=180°

Hence Proved..


Hope It Helps

Answer 2

X=180-(75+45)
= 180-120 =60° , Linear pair of angles
Y =75°, exterior angle property
Z=45° ,exterior angle property