Question

ABCD is a Quadrilateral with < a= <c and <b=<d.if <a is twice <b,find the measures of each angle​

Answer 1

Step-by-step explanation:

4b+ 2b= 360(asp)

b=60

therefore, angle a-120

b- 60

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Answer 2

Given :

<A = <C -------(1)

<B = <D -------(2)

<A = 2 <B -------(3)

Solution ;

=> <A + <B + <C + <D = 360° ( angle sum property of quadrilateral )

=> 2 <B + <B + <A + <B = 360°

=> 3<B + 2 <B + <B = 360°

=> 6 <B = 360°

=> <B = 360° / 6

=> <B = 60°

=> <A = 2 <B = 2 × 60°

=> <A = 120°

=> <C = <A

=> <C = 120°

=> <D = <B

=> <D = 60°

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