World Languages, asked by Ananya1912, 5 months ago

In the adjoining figure , E is a point in the interior of Angle AOB , such that EC perpendicular to OB and ED perpendicular to OAB . If angle AOB = 36° , what is the measure of angle CED ?

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Answers

Answered by mittansatish

Answer: angle CED = 144°

DOC + OCE + CED + ODE = 360° ( ASP )

CED + 90° + 90° + 36° = 360°

CED + 216° = 360°

CED = 360° - 216° = 144°

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Answered by lahari60

Answer:

Firstly we have to draw an imaginary line from O to E

then we will get two triangles

∆OED and∆OEC

we know that sum of angles in a triangle is 180

so in ∆OED

Let us consider other angle as x

90+36+x=180

126+x=180

x=180-126

x=54

In the same way consider ∆OED

then again we will get x=54

so to get total angle E

54+54=108

Hence

The measure of angle CED is 108.

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