In given figure, the measure of ∠BAC is
60 degree
50 degree
70 degree
80 degree
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Answer:
Correct answer is option B i.e. 50 degree.
In given figure, the measure of ∠BAC is 50°.
Step-by-step explanation:
In a triangle if two sides are equal, then the angles opposite to the same two sides are also equal.
So, as given in the figure
AC= BC = 5 cm
So,
∠BAC = ∠CBA = 50°
( ∠BAC is opposite to side BC and ∠CBA is opposite to side AC)
∠BAC = 50° = 2x + 20°
2x=50°- 20° = 30°
x = 15°
We know that,
∠BAC +∠CBA + ∠ACB = 180°
(The sum of all angles are triangle is 180°.)
50°+ 50°+ ∠ACB = 180°
∠ACB = 180° - 100°
∠ACB = 80°
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