Question

2. AB is the diameter of the circle.
D is a point on the circle.
ZACB + ZADB + ZAEB = 270º.
Measure of one among
ZADB. ZACB,
ZAEB is 110°. Write the
measures of ZADB,
ZACB, and ZAEB.​

Answer 1

Answer:

In △ABC AB=AC

⇒∠B=∠C (Angles opposite to equal sides are equal)

Now using angle sum property

∠A+∠B+∠C=180

∘

⇒80

∘

+∠C+∠C=180

∘

⇒2∠C=180

∘

−80

∘

⇒∠C=

2

100

∘

=50

∘

now ∠C+∠x=180

∘

(Angles made on straight line (AC) are supplementary)

⇒50

∘

+∠x=180

∘

⇒∠x=180

∘

−50

∘

=130

∘

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