# a) Find the complement of angle 720 b) AB and CD are two lines intersecting at a point O. Find the value of p. 3p+15 105? In the given fig. ABIDE and BCIEF. If LABC80?, then find a) 4DGC and b.) ZDEF. Give Reasons.

a)

The sum of the measures of complementary angles is 90º.

72°

Complement = 90° − 72°

= 18°

b) AB and CD are two lines intersecting at a point O.$\Rightarrow \angle \mathrm{AOC}=\angle \mathrm{BOD}\left(\mathrm{vertically}\mathrm{opposite}\mathrm{angles}\right)\phantom{\rule{0ex}{0ex}}\Rightarrow 105\xb0=3\mathrm{p}+15\phantom{\rule{0ex}{0ex}}\Rightarrow 3\mathrm{p}=105\xb0-15\xb0\phantom{\rule{0ex}{0ex}}\Rightarrow 3\mathrm{p}=90\xb0\phantom{\rule{0ex}{0ex}}\Rightarrow \mathrm{p}=30\xb0\phantom{\rule{0ex}{0ex}}$

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