Question

In the triangle of ABCD the value of C=120 degree. find the value of x&y and angle ACB? if the triangle is equilateral.​

Answer 1

A traingle has only 3 sides. Not four.

Answer 2

ANSWER

△ABC is an equilateral triangle.

∠ABC=60

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Now, ∠CBP=180−∠ABC−65 (Angles on a straight line)

∠CBP=55

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Similarly, ∠XPB=45

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Now, In △YBP

∠YBP+∠YPB+∠BYP=180

∠BYP=180−45−55

∠BYP=80

∠XYC=∠BYP=80

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(Vertically opposite angles)

Sum of angles of triangle XYC=180

∠XYC+∠YXC+∠XCY=180 (∠XCY=60, △ABC is an equilateral triangle)

80+60+∠CXY=180

∠CXY=40

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