Question

ABC is an equilateral triangle and AB is parallel to Cn. Find x
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Answer 1

AnswEr:-

❀Your Answer Is 60°.

ExplanaTion:-

Given:-

• An equilateral triangle ABC.

• AB is parallel to CD.

To Find:-

• The value of x.

Concepts Used:-

• All angles of an equilateral triangle are always eqaul to 60°.

• Alternate Interipr Angles [AIA]:- Alternatively Interior Angles are always equal.

• Linear Pair:- Sum of Angles making a straight angle is always equal to 180°.

So Now,

Since ABC is an equilateral triangle,

↦ <A = <B = <C = 60°... (1).

And,

Since CD ।। AB,

↦ <A = <DAC

[AIA]

↦ <DAC = 60°... (2).

[From (1)].

Also,

↦ <C + <DAC + x = 180°.

[Linear Pair].

↦ 60° + 60° + x = 180°.

[From (1) And (2)].

↦ 120° + x = 180°.

↦ x = 180° - 120°.

↦ x = 60°.

❝Therefore The Required Value Of x Is 60°.❞

Answer 2

Answer:

x = 60°

Step-by-step explanation:

Since,

AB = BC = AC ....... ( Given )

therefore , it is an equilateral ∆ .

So, angleA = angleB = angleC = 60°

Now,

BA || CD and BC is a transveral

so,

angle ABC = angleDCO. ... ( Corresponding angle)

60° = x

Hence,

x = 60°