Refer the above figure.
The measure of $∠ B A C$ is

65^{\circ}

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50^{\circ}

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55^{\circ}

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60^{\circ}

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Solution

The correct option is A $50^{\circ}$
We know,
sum of interior angles of a triangle is 180 degree
in triangle ABC,
$∠ B = ˚ 6 5$ , $∠ C = ˚ 6 5$
$∠ B A C = [˚ 180 - ˚ (65 + ˚ 65)]$
$∠ B A C = 50^{0}$

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\begin{matrix} W e i g h t (i n k g) & 40 - 45 & 45 - 50 & 50 - 55 & 55 - 60 & 60 - 65 & 65 - 70 & 70 - 75 & 75 - 80 N u m b e r o f p e r s o n s & 4 & 4 & 13 & 5 & 6 & 5 & 2 & 1 \end{matrix}

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Marks	$50 - 55$	$55 - 60$	$60 - 65$	$65 - 70$	$70 - 75$
Students	$50$	$40$	$30$	$20$	$10$

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Production yield (Quintal/Hec)	$50 - 55$	$55 - 60$	$60 - 65$	$65 - 70$	$70 - 75$	$75 - 80$
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Question 26

If the exterior angle of a triangle is $130^{\circ}$ and its interior opposite angles are equal, then measure of each interior opposite angle is

a) $55^{\circ}$
b) $65^{\circ}$
c) $50^{\circ}$
d) $60^{\circ}$

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