Question

find the measure of ACD,a=30°.please explain step by step
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Answer 1

Step-by-step explanation:

We know that angle on a straight line is 180 degree.

∠C on line BD will be 180 degree.

∠ACB+∠ACD=180

⇒65+∠ACD=180

∴∠ACD=180−65=115

0

Answer 2

Step-by-step explanation:

AB = AC

So opposite angles are equal...that is,

angle ABC = angle ACB

Now in triangle ABC

angle BAC +angle ABC+ angle ACB =180°

30°+x°+x°=180°

2x°=150°

x°=angle ABC=angle ACB= 75°

Now

angle ACB + angle ACD = 180° .....(LINEAR PAIR)

75°+angle ACD =180°

angle ACD=105°