Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
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.
Last updated on May 8, 2025
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