sibanibhandari19
Answered

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b) In the given figure, If AB = AC and < ABC = 65°, Find the value of
<ACB & <BAC.
A
65°
B
C​

B In The Given Figure If AB AC And Lt ABC 65 Find The Value OfltACB Amp LtBACA65BC class=

Sagot :

olayemiolakunle65

Answer:

<ACB = [tex]65^{o}[/tex] and <BAC = [tex]50^{o}[/tex]

Step-by-step explanation:

The given triangle is an isosceles triangle. Thus its two sides are equal and base angles are equal.

So that;

<ACB = <ABC

<ACB = [tex]65^{o}[/tex] (property of an isosceles triangle)

Then,

<ABC + <ACB + <BAC = [tex]180^{o}[/tex]

[tex]65^{o}[/tex] + [tex]65^{o}[/tex] + <BAC = [tex]180^{o}[/tex]

130 + <BAC = [tex]180^{o}[/tex]

<BAC = [tex]180^{o}[/tex] - [tex]130^{o}[/tex]

          = [tex]50^{o}[/tex]

<BAC = [tex]50^{o}[/tex]

Thus, <ACB = [tex]65^{o}[/tex] and <BAC = [tex]50^{o}[/tex].

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