In the given figure-CAE - 84-If -B - -C - 3 - 4- then find the values of -B and -C-

Let, ∠B = 3x and ∠C nbsp;= 4x By Exterior angle property, ∠B nbsp;+ ∠C nbsp;= ∠CAE 3x nbsp;+ 4x nbsp;= 84⁰ 7x = 84⁰ Therefore, x = 12⁰ therefore ∠B ...

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

Byju's Answer

Standard VII

Mathematics

Co-interior Angles Theorem

In the given ...

Question

In the given figure,
∠CAE = 84⁰
If ∠B : ∠C = 3 : 4, then find the values of ∠B and ∠C.

Open in App

Solution

Let,
∠B = 3x and ∠C = 4x

By Exterior angle property,
∠B + ∠C = ∠CAE
3x + 4x = 84⁰
7x = 84⁰
Therefore,
x = 12⁰

therefore ∠B = 3 x 12 = 36⁰

and ∠C = 4 x 12⁰= 48⁰

Suggest Corrections

Similar questions

Q. In the given figure,

∠ C A E = 84^{\circ}

. If

∠ B : ∠ C = 3 : 4,

then find the value of

∠ B

and

∠ C

In the given figure,
$∠ C A E = 84^{\circ}$ .
If $∠ B : ∠ C = 3 : 4,$ then $∠ B$ = ____ and $∠ C$ = ____.

In the given figure, DE || BC. If AD = 6 cm, AB = 24 cm and DE = 5 cm, then find the value of BC.

Q. In the given figure, OC is perpendicular to the chord AB. If AB = 8 cm, then the value of BC is .

Q. In the given figure, AB = 3 cm, DE = 5 cm. If AD = 4 cm, then BC is equal to

Join BYJU'S Learning Program

In the given figure, ∠CAE = 84⁰ If ∠B : ∠C = 3 : 4, then find the values of ∠B and ∠C.

Let, ∠B = 3x and ∠C = 4x By Exterior angle property, ∠B + ∠C = ∠CAE 3x + 4x = 84⁰ 7x = 84⁰ Therefore, x = 12⁰ therefore ∠B = 3 x 12 = 36⁰ and ∠C = 4 x 12⁰= 48⁰

In the given figure,
∠CAE = 84⁰
If ∠B : ∠C = 3 : 4, then find the values of ∠B and ∠C.

Let,
∠B = 3x and ∠C = 4x

By Exterior angle property,
∠B + ∠C = ∠CAE
3x + 4x = 84⁰
7x = 84⁰
Therefore,
x = 12⁰

therefore ∠B = 3 x 12 = 36⁰

and ∠C = 4 x 12⁰= 48⁰