Find the value of x y and z when l || BC x = 75° y = 4
| Find the value of x, y, and z when l || BC .
A. x = 75°, y = 45° and z = 60°.
B. x = 60°, y = 45° and z = 75°.
C. x = 60°, y = 75° and z = 45°.
D. x = 45°, y = 75° and z = 60°.
Please scroll down to see the correct answer and solution guide.
Right Answer is: C
SOLUTION
Given, l || BC.
Considering AC as a transversal, z = 45°( Alternate interior angles) ...(i)
When AB is a transversal, y = 75° (Alternate interior angles) ...(ii)
Now, by angle sum property of triangle, x + y + z = 180°
From, (i) and (ii),
x + 75° + 45° = 180°
⇒ x + 120° = 180°
⇒ x = 180° - 120° = 60°.
Hence, x = 60°, y = 75° and z = 45°.
