Question

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Answer 1

Answer:

as FG || DE...so CAB +ABD =180 ...then X=$(x+46)+x =180\\=>x=\frac{134}{2} \\=>x=67$

Step-by-step explanation:

Answer 2

Solution :-

→ ∠CBD = 46° (given)

so,

→ ∠BCA = ∠CBD (since FG || DE , Alternate interior angle.)

→ ∠BCA = 46°

now, in ∆ABC we have,

→ ∠BCA = 46°

→ BC = CA

so,

→ ∠CBA = ∠CAB = x° (Angle opposite to equal sides are equal in measure.)

then,

→ ∠BCA + ∠CBA + ∠CAB = 180° (By angle sum property.)

→ 46° + x° + x° = 180°

→ 2x° = 180° - 46°

→ 2x° = 134°

→ x° = 67° (Ans.)

Learn more :-

In ABC, AD is angle bisector,

angle BAC = 111 and AB+BD=AC find the value of angle ACB=?

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