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Mathematics

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In triangles ...

Question

In triangles ABC and DEF, ∠A = ∠E = 40°, AB : ED = AC : EF and ∠F = 65°, then ∠B =

(a) 35°
(b) 65°
(c) 75°
(d) 85°

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Solution

Given: In ΔABC and ΔDEF

To find: Measure of angle B.

In ΔABC and ΔDEF

Hence in similar triangles ΔABC and ΔDEF

We know that sum of all the angles of a triangle is equal to 180°.

Hence the correct answer is .

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Similar questions

In $Δ A B C$ and $Δ D E F$ , $∠ A = ∠ E = 40^{\circ}$ , AB : ED = AC : EF and $∠ F = 65^{\circ}$ , then the value of $∠ B$ is

In $△$ ABC and $△$ DEF, $∠$ A = $∠$ E = $40^{\circ}$ and $\frac{A B}{E D}$ = $\frac{A C}{E F}$ . Find $∠$ B if $∠$ F is $65^{\circ}$ .

Q. If in the triangles

A B C

and

D E F

, angle

A

is equal to angle

E

, both are equal to

40^{o}

A B : E D = A C : E F

and angle

F

65^{o}

, then angle

B

is:

Q. If in

△

A B C

and

D E F,

∠ A = ∠ E = 37^{\circ}, A B : E D = A C : E F

and

∠ F = 69^{\circ},

then what is the value of

∠ B ?

If in the $△$ 's ABC and DEF, $∠$ A is equal to $∠$ E, both are equal to $40^{\circ}$ . AB : ED = AC : EF and angle F is $65^{\circ}$ , then angle B is:

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In triangles ABC and DEF, ∠A = ∠E = 40°, AB : ED = AC : EF and ∠F = 65°, then ∠B = (a) 35° (b) 65° (c) 75° (d) 85°

Given: In ΔABC and ΔDEF To find: Measure of angle B. In ΔABC and ΔDEF Hence in similar triangles ΔABC and ΔDEF We know that sum of all the angles of a triangle is equal to 180°. Hence the correct answer is .

In triangles ABC and DEF, ∠A = ∠E = 40°, AB : ED = AC : EF and ∠F = 65°, then ∠B =

(a) 35°
(b) 65°
(c) 75°
(d) 85°

Given: In ΔABC and ΔDEF

To find: Measure of angle B.

In ΔABC and ΔDEF

Hence in similar triangles ΔABC and ΔDEF

We know that sum of all the angles of a triangle is equal to 180°.

Hence the correct answer is .