Madhya Pradesh Police Exam Model Paper 9

Tips & Tricks
Given:
ABCD is a parallelogram
Concept used:
The Sum of adjacent angles of the parallelogram is 180°.
Calculation:
In parallelogram ABCD ∠ADC+∠DCB=180° [Adjacent angles of parallelogram]
⇒(z–15)°+(2z)°=180°
⇒3z=195°
⇒z=65°
∠BAD+∠ADC=180° [Adjacent angles of parallelogram]
⇒x°+(z–15)°=180°
⇒x+(65–15)=180°
⇒x+50°=180°
⇒x=130°
∠DAB + ∠ABC = 180° [Adjacent angles of parallelogram]
⇒x°+y°=180°
⇒130°+y°=180°
⇒y=50°
∴ The value of x, y, and z are 130°, 50° and 65° respectively.