In the diagram, lt; PSR = 220o, lt; SPQ = 58o and lt; PQR = 41o. Calculate the obtuse angle QRS.

In the diagram, < PSR = 220^o, < SPQ = 58^o and < PQR = 41^o. Calculate the obtuse angle QRS.

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A 90^o
B 100^o
C 121^o
D 60^o

Correct Answer: Option C

Explanation:
Joining SQ. In \(\bigtriangleup\) SPQ,
(22^o + a) + 55^o + (41^o + b) = 180^o
121^o + a + b = 180^o
a + b = 180 - 121
a + b = 59^o.....(1)
In \(\bigtriangleup\) SRPQ; R + a + b = 180^o
R + 59^o = 180^o
(in (1), a + b = 59^o)
R = 180 - 59
R = 121^o

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In the diagram, lt; PSR = 220o, lt; SPQ = 58o and lt; PQR = 41o. Calculate the ...

Take Free Practice Test On 2026 JAMB UTME, Post UTME, WAEC SSCE, GCE, NECO SSCE

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