Question

ASAP _________________

Answer 1

A. 28°

Explanation:

Given,

angle BED=82° , angle CBE=152°

ABEF=CBED

which means,all the corresponding sides and angles are equal of the two quadrilaterals,i.e., they are congruent to each other.

As such,angle AFE=angle EDC=98°

and , angle A=angle BCD

Now, considering the quadrilateral CBED,

angleCBE+angleBED+angleEDC+angleBCD=360°

So,98°+82°+152°+angleBCD=360°

or,angleBCD=360°-332°=28°

Answer 2

Answer: OPTION A.

Explanation:

Since the sum of the interior angles of a quadrilateral is 360 degrees.

We can write the following expression:

`m\angle C+m\angle BED+m\angle CBE+m\angle D=360\°`

We know that ABEF≅CBED. Then:

`m\angle A=m\angle C\\\\m\angle F=m\angle D`

Substituting and solving for
`m\angle A`, we get:

`m\angle A+82\°+152\°+98\°=360\°\\\\m\angle A=360\°-82\°-152\°-98\°\\\\m\angle A=28\°`