Question

Please Explain and solve and write answer

Answer 1

m∠DAC = 72°

Explanation:

Given the information
m∠DFA = m∠BFC since they are vertically opposite angles formed by the intersection of the diagonals

Therefore
m∠DFA = 49°

In triangle AFD, the sum of the three angles must equal 180°

So m∠ADF + m∠DFA + m∠DAC = 180°

We know
m∠ADF = 59° and m∠DFA = 49°

Plugging these values we get

59° + 49° + m∠DAC = 180°

108° + m∠DAC = 180°

m∠DAC = 180 - 108 = 72°

Answer 2

∠DAC=72°

Explanation:

Solution Given:

∠AFD=∠BFC Being Vertically opposite angle.

Since their angle are equal so,

∠AFD=49°

again

In traingle ADF

∠ADF+∠AFD+∠DAC=180° Since the sum of interior angle of a traingle is 180°

substituting value

59°+49°+∠DAC=180°

108°+∠DAC=180°

subtracting 108° in both side we get

∠DAC=180°-108°

Therefore, ∠DAC=72°