Question

In ΔPQR (Fig. 11.44), line segment ST is parallel to QR.
Find x, y and z​

Answer 1

Answer:

x = 60°

y = 50°

z = 70°

Step-by-step explanation:

Given :

• ST || OR
• angle S = 70°
• angle R = 50°
• angle P = x
• angle T = y
• angle Q = z

Solution :

Finding y :

• angle R = angle T (corresponding angles)
• 50° = angle T
• y = 50°

Finding z :

• angle Q = angle S
• z = 70°

Finding x :

• Using triangle property
• x + y + 70 = 180°
• x + 50 + 70 = 180°
• x + 120 = 180°
• x = 180 - 120
• x = 60°

Answer 2

Answer:

x=60,y=50,z=70

Step-by-step explanation:

steps given above