Find the measure of Arc AD.

Pls help me

arc AD = 138°

Step-by-step explanation:

Recall: if two inscribed angles are subtended by the same arc, the two angles are congruent or equal to each other based on the inscribed angle theorem.

<ABD and <ACD are two inscribed angles subtended by the same arc, therefore, they are equal.

Thus:

7x + 20 = 55 + 2x

Solve for x. Collect like terms

7x - 2x = 55 - 20

5x = 35

Divide both sides by 5

x = 35/5

x = 7

✔️m<ACD = ½(arc AD) (Inscribed angle theorems)

Substitute

55 + 2x = ½(arc AD)

Plug in the value of x

55 + 2(7) = ½(arc AD)

55 + 14 = ½(Arc AD)

69 = ½(Arc AD)

Multiply both sides by 2

2*69 = Arc AD

138° = arc AD

arc AD = 138°

answer:

c 60% on edg

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

⭐dhruv⭐