In the given figure- find the value of - ACB-A- 45- 40 C- 75-D- 115-

The correct option is B 40° ∠ ABD is an exterior angle to Δ ABC. ∠ ABD = ∠ EBC = 115^∘ (vertically opposite angles) ∠ ABD = ∠ BAC + ∠ BCA (exterior angle pro ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VII

Mathematics

Vertically Opposite Angles

In the given ...

Question

In the given figure, find the value of $∠ A C B$ .

45°

No worries! We‘ve got your back. Try BYJU‘S free classes today!

40°

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

75°

No worries! We‘ve got your back. Try BYJU‘S free classes today!

115°

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B
40°

$∠ A B D$ is an exterior angle to $Δ A B C$ .

$∠ A B D$ = $∠ E B C$ = $115^{\circ}$ (vertically opposite angles)

$∠ A B D$ = $∠ B A C$ + $∠ B C A$ (exterior angle property)

$⟹ ∠ B C A$ = $∠ A B D$ - $∠ B A C$
= $115^{\circ}$ - $75^{\circ}$ = $40^{\circ}$

Suggest Corrections

Similar questions

In the given figure AB || CD. If $∠ E G D = 140^{\circ}$ and $∠ G H B = 4 x^{\circ}$ , then find the value of x.

$In the given figure, ABCD is a parallelogram. From the given options, select the values of x$

In the given figure, if $∠$ ACB = $30^{\circ}$ , the value of $∠$ ACD is .........

In the figure below, $△$ ABC $≅$ $△$ BED, $∠$ DEB = $115^{\circ}$ and $∠$ CAB = $25^{\circ}$ , find $∠$ BDE.

Q. Find the angle between

\to A

and

\to B

in degrees

Join BYJU'S Learning Program

In the given figure, find the value of ∠ACB.

The correct option is B 40° ∠ABD is an exterior angle to ΔABC. ∠ABD = ∠EBC = 115∘ (vertically opposite angles) ∠ABD = ∠BAC + ∠BCA (exterior angle property) ⟹∠BCA = ∠ABD - ∠BAC = 115∘ - 75∘ = 40∘

In the given figure, find the value of $∠ A C B$ .