Q2 of 153 Page 118

In the adjoining figure, AOB is a straight line. Find the value of x. Hence, Find And

X=27.5, =77.5°=47.5°


AOB is a straight line


Therefore, + ∠COD + = 180°


⇒ (3x - 5)° + 55° + (x + 20)° = 180°


⇒ 3x - 5° + 55° + x + 20° = 180°


⇒ 4x = 180° - 70°


⇒ 4x = 110°


⇒ x = 27.5°


= (3x - 5)°


= 3×27.5 – 5 = 77.5°


= (x + 20)°


= 27.5 + 20 = 47.5°


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