Question

Please find X in the figure below.

Answer 1

Answer:

x=34

Step-by-step explanation:

Please, see the attached file.

Thanks.

Answer 2

Answer:

Hence final answer is x=34

Step-by-step explanation:

∠ADC= ∠EDF {Vertically opposite angles are always equal}

∠ADC= 36°  {Given }

∠ADB= 36°...(i)  {Same angles}

∠ABI + ∠ABC = 180° {supplementry angles }

113° + ∠ABC = 180°  {Given }

∠ABC = 180° - 113°

∠ABC = 67°

∠ABD = 67° ...(ii)  {same angle}

We know that sum of all three angles of triangle is 180 degree so we can write:

∠ABD + ∠ADB + ∠BAD =  180°

67° + 36° + ∠BAD =  180°  {using (i) and (ii) }

67° + 36° + x°+43° =  180°  {from diagram }

146° + x° =  180°

x° =  180° - 146°

x° =  34°

Hence final answer is x=34