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Exterior Angle of a Triangle and Its Property

Find the meas...

Question

Find the measure of the angle $x$ in the given figure.

A

50^{o}

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B

70^{o}

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C

60^{o}

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D

30^{o}

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Solution

The correct option is B $70^{o}$
$∠ E F D + ∠ F E D = x$ (Exterior angle property of a triangle)
$\Rightarrow 28^{o} + 42^{o} = ∠ x$
$\Rightarrow ∠ x = 70^{o}$
Option B is correct.

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Similar questions

Q. Which of the following form the three angles of a triangle.

a) {90^{o}, 30^{o}, 50^{o}}

b) {40^{o}, 40^{o}, 100^{o}}

c) {50^{o}, 60^{o}, 70^{o}}

d) {20^{o}, 30^{o}, 40^{o}}

Q. Refer to figure. Copy and complete the table :

$∠ A B D$	$∠ D B E$	$∠ E B C$
$70^{o}$	$70^{o}$	$?$
$50^{o}$	$?$	$60^{o}$
$35^{o}$	$80^{o}$	$?$

△ A B C

△ D E F

∠ A = 50^{o}, ∠ B = 70^{o}, ∠ C = 60^{o}, ∠ D = 60^{o}, ∠ E = 70^{o}, ∠ F = 50^{o}

△ A B C

Q. In the given figure of

△ A B C

∠ A = 50^{o}, B = 60^{o},

C = 70^{o}

. If mid-point of side

A B, B C

C A

D, E

F

respectively then find

∠ D E F

Q. The value of angle B will be in the given figure, if

∠ A = 50^{o} ∠ C = 60^{o}

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Exterior Angle of a Triangle and Its Property

Standard VII Mathematics

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