Please find X in the figure below.
2 answers:
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
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