Question

What is m∠A ? Enter your answer in the box. ° Triangles A B E and D C E share vertex E. Angle B is 18 degrees. Angle C is 43 degrees. Angle D is 35 degrees.

Answer 1

60 degrees

Step-by-step explanation:

It is given that the Triangles A B E and D C E share vertex E. Angle B is 18 degrees. Angle C is 43 degrees. Angle D is 35 degrees.

According to angle sum property, the sum of angles of a triangle is always 180 degree.

In triangle CDE,

According to opposite vertical angle property.

Use angle sum property is triangle ABE.

Therefore, the measure of angle A is 60 degrees

Answer 2

Answer: The measure of angle A is 60 degree.

Step-by-step explanation:

It is given that the Triangles A B E and D C E share vertex E. Angle B is 18 degrees. Angle C is 43 degrees. Angle D is 35 degrees.

According to angle sum property, the sum of angles of a triangle is always 180 degree.

In triangle CDE,

`\angle ECD+\angle CDE+\angle DEC=180^(\circ)`

`43^(\circ)+35^(\circ)+\angle DEC=180^(\circ)`

`78^(\circ)+\angle DEC=180^(\circ)`

`\angle DEC=180^(\circ)-78^(\circ)`

`\angle DEC=102^(\circ)`

According to opposite vertical angle property.

`\angle AEB=\angle DEC`

`\angle AEB=102^(\circ)`

Use angle sum property is triangle ABE.

`\angle ABE+\angle BEA+\angle EAB=180^(\circ)`

`\angle ABE+102^(\circ)+18^(\circ)=180^(\circ)`

`\angle ABE+120^(\circ)=180^(\circ)`

`\angle ABE=60^(\circ)`

Therefore, the measure of angle A is 60 degree.