Q6 of 153 Page 118

Two lines AB and CD intersect at O. If =50°, find and .

=130°,=50°, =130°


Given AB and CD intersect a O


Therefore, = _____________________ (i)


And ∠BOC = ∠AOD _____________________ (ii)


=50°


Therefore, =50° from equation (i)


AOB is a straight line,


⇒ + = 180°


⇒ 50° + = 180°


⇒ = 180° - 50°


⇒ = 130°


∠AOD = ∠BOC = 130° from equation (ii)


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