If AB = x + 3, BC = 2x and AC = 4x - 5, then what will be the measure of x, if B lies on AC?

x = 10

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

x = 8

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

x = -1

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

x = -4

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

Open in App

Solution

The correct option is B x = 8

AB = x + 3, BC = 2x and AC = 4x - 5
Then, AB + BC = AC
x +3 + 2x = 4x - 5
3x + 3 = 4x - 5
3 + 5 = 4x - 3x
8 = x

The value of x will be 8.

Suggest Corrections

Similar questions

A B = x + 3, B C = 2 x

A C = 4 x - 5

x

B

A C

If $L M ∥ A B, A L = x - 3, A C = 2 x, B M = x - 2,$ and $B C = 2 x + 3.$ What is value of $A C ?$

____

If LM $∥$ AB, AL=x-3, AC=2x, BM=x-2, BC=2x+3. What is value of AC?

If $L M ∥ A B, A L = x - 3, A C = 2 x,$ $B M = x - 2, B C = 2 x + 3.$ What is value of AC ?

If LM || AB, AL = 2x - 4, AC = 4x, BM = x - 2 and BC = 2x + 3 with x >0, then find the value of x.

Join BYJU'S Learning Program