Find the value of x in each case:
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Step-by-step explanation:
→ In Δ ABC
→ ∠A + ∠B + ∠C = 180°
→ 60° + 45° + ∠C = 180°
→ 105° + ∠C = 180°
→ ∠C = 180° - 105°
→ ∠C = 75°
→ DCB is a straight line and it forms a straight angle
→ so ,
→ 75 + x = 180
→ x = 180 - 75
→ x = 105°
→ now a straight angle forms by line ACE
→ 105 + angle of Δ DCE
→ 105 + x = 180
→ x = 75°
→ Now ,
→ 80 ° + x + 75 = 180
→ x = 180 - 155
→ x = 25°
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