Question

What is m∠A ? Enter your answer in the box. °

Answer 1

The definition of the interior angles of a triangle states that interior angles of a triangle add up to 180º.

This means we can find the measure of <CED: 

<CED + <ECD + <CDE = 180º
<CED = 180º - <ECD - <CDE
<CED = 180º - 43º - 35º
<CED = 102º

By the definition of vertical angles states that a pair of vertical angles are congruent.

This means <CED = <AEB
If <CED = 102º 
Then <AEB = 102º

By definition of the interior angles of triangles:
<AEB + <EBA + <BAE = 180º

<AEB = 102º
<EBA = 18º

102º + 18º + <BAE(<A) = 180º

<BAE = 180º - 102º - 18º
<BAE = 60º

<BAE is another way to say <A

m∠A  = 60º

Answer 2

The answer is 42 degrees