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

Answer: The measure of angle A is 60 degree.

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.

Answer 2

Answer:

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