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Collinear Points

Find the valu...

Question

Find the values of the unknowns $x$ and $y$ in the figure (i).

x = 60, y = 70

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x = 70, y = 60

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x = 50, y = 70

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x - 50, y = 60

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Solution

The correct option is B $x = 70, y = 60$
$y + 120 = 180$ , since they form a linear pair.

Therefore, $y = 180 - 120$

$\Rightarrow y = 60$

$x + y + 50 = 180$ , since they form a triangle

$x + 60 + 50 = 180$

$x = 180 - 60 - 50$

$\Rightarrow x = 70$

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Class Interval	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$	$60 - 70$	$70 - 80$
Number of students	$12$	$30$	x	$65$	y	$25$	$18$

Question 34

The measures of $∠ x$ and $∠ y$ in the given figure are respectively.

a) $30^{\circ}, 60^{\circ}$
b) $40^{\circ}, 40^{\circ}$
c) $70^{\circ}, 70^{\circ}$
d) $70^{\circ}, 60^{\circ}$

Q. In the figure, AB = AC and AD || BC find the respective measures of x, y and z.

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Find the values of the unknowns x and y in the figure (i).

The correct option is B x=70,y=60y+120=180, since they form a linear pair.Therefore, y=180−120⇒y=60x+y+50=180, since they form a trianglex+60+50=180x=180−60−50⇒x=70

Find the values of the unknowns $x$ and $y$ in the figure (i).

The correct option is B $x = 70, y = 60$
$y + 120 = 180$ , since they form a linear pair.

Therefore, $y = 180 - 120$

$\Rightarrow y = 60$

$x + y + 50 = 180$ , since they form a triangle

$x + 60 + 50 = 180$

$x = 180 - 60 - 50$

$\Rightarrow x = 70$