Question

Pls he me as fast as anybody can. The ans is 25 I just need the explanation with the name of...... Like - corresponding ; interior ;exterior etc
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Answer 1

Answer:

In ∆ ABC

ANGLE ACB= ANGLE DCE (vertical opposite angles)

60+45+c=180. angle sum property

c=180-105

c=75

In ∆DCE

angle D+C+E=180

80+75+E=180

e=180-155

E=25

hope it helps

Answer 2

$\large\mathrm\purple{Explanation}$

Consider ∆ ABC

∠A + ∠B + ∠C = 180

⇒ Angle Sum Property of a ∆

60° + 45° + ∠C = 180

105 + ∠C = 180

∴∠C = 180 - 105 = 75°

$\boxed{∠ACB~=~∠DCE <strong>⇔</strong><strong> </strong>75~=75}$

$\boxed{Vertically~Opposite~Angles~are~equal~na....}$

Consider ∆ CDE

∠C + ∠D + ∠E = 180

⇒ Angle Sum Property of a ∆

∠C + ∠D + ∠E = 180

75 + 80 + X = 180

155 + X = 180

∴ X = 180 - 155 = 25°

$\blue{Hope,~u~understood~mate}$

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