Question

In an Isosceles trapezium ABCD , side BC // side AD , ㄥA = 82°

then find the measure of ㄥD

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Answer 1

Answer:

The correct option is A

∠

A

=

82

∘

,

∠

C

=

98

∘

,

∠

D

=

98

∘

G

i

v

e

n

:

∠

B

=

82

∘

⇒

∠

A

=

∠

B

=

82

∘

(

Property of isosceles trapezium

)

⇒

∠

C

+

∠

B

=

180

∘

(

Co-interior angles

)

⇒

∠

C

+

82

∘

=

180

∘

⇒

∠

C

=

180

∘

−

82

∘

=

98

∘

A

l

s

o

∠

D

=

∠

C

=

98

∘

(

Property of isosceles trapezium

)

∴

∠

A

=

82

∘

,

∠

C

=

98

∘

,

∠

D

=

98

∘