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Ray OR stands on the straight line PQ. The angles a and b are supplementary and a : b = 2 : 3. Find b.

Class 7Complementary and Supplementary AnglesLines and Angles

A72°
B54°
C108°
D120°

Step-by-Step Solution

Split

18 0^{\circ}

in the ratio 2 : 3: one part is

18 0^{\circ} \div 5 = 3 6^{\circ}

, so

b = 3 \times 3 6^{\circ} = 10 8^{\circ}

(and

a = 7 2^{\circ}

).

Answer: C) 108°

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