Question

in the adjoining figure line a // line b. line l is transversal find the measures angle x angle y and angle z using the given information​

Answer 1

Answer:

angles

X=105°

Y=105°

Z=75°

anglesX=105° (corresponding angles)

Y=105° (vertical opposite angles)

Z=75° (linear pair)

Step-by-step explanation:

hope it's help you my friend

Answer 2

Answer:

Given:

Line a || line b and line l is a transversal.

So,

m∠x = 105° … (i) [Since, it is a corresponding angle]

Now,

m∠y = m∠x [Since, they are vertically opposite angles]

So, m∠y = 105° …[From equation (i)]

Now, m∠z + 105° = 180° [Since, angles are in a linear pair]

m∠z = 180°- 105°

m∠z = 75°

∴ The measure of ∠x is 105°, m∠y is 105°, m∠z is 75°.