Mathematics Questions and Answers – Another Condition for a Quadrilateral to be a Parallelogram

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This set of Mathematics Written Test Questions and Answers for Class 9 focuses on “Another Condition for a Quadrilateral to be a Parallelogram”.

1. If the ratio of four angles of a quadrilateral is ∠A : ∠B : ∠C : ∠D = 1 : 2 : 3 : 4, what is the value of ∠C?
a) 90°
b) 108°
c) 180°
d) 72°
View Answer

Answer: b
Explanation: Let ∠A = x, then ∠B = 2x, ∠C = 3x and ∠D = 4x
We know that sum of the four angles of a quadrilateral is 360°.
Therefore, ∠A + ∠B + ∠C + ∠D = 360°
x + 2x + 3x + 4x = 360°
10x = 360°.
x = 36°.
Now, ∠C = 3x = 3(36°) = 108°.
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Manish Bhojasia, a technology veteran with 20+ years @ Cisco & Wipro, is Founder and CTO at Sanfoundry. He is Linux Kernel Developer & SAN Architect and is passionate about competency developments in these areas. He lives in Bangalore and delivers focused training sessions to IT professionals in Linux Kernel, Linux Debugging, Linux Device Drivers, Linux Networking, Linux Storage, Advanced C Programming, SAN Storage Technologies, SCSI Internals & Storage Protocols such as iSCSI & Fiber Channel. Stay connected with him @ LinkedIn | Youtube | Instagram | Facebook | Twitter