Question

if AC angle Ab and angle BECis equal to 110 then find the value of x and y

Answer 1

Given:-AC=AB
angle BEC=110°

solution::--

As we know the rule

=>The sum of Opposite angle of a cyclic quadrilateral is equal to 180°

following this rule,

angleBDC+angle BEC=180

y+110=180

y=180-110

y=70°


In ∆ABC
AC=AB
forming isosceles triangle.

and by the rule

=>Angles in the same segment of. circle are equal.

angleBAC=angleBDC

angleBAC==70

angleABC=angleACB

angle opposite to equal side are equal.

so,
using angle sum property in ∆ABC

angleABC+angleACB+angleBAC=180

x+x+70=180

2x=180-70

2x=110

x=55

so,x=55
& y=70

@Altaf

Answer 2

Answer:

answer is 35................

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