What is the length of
bc?

enter your answer in the box.



2nd picture: what is the value of x? enter your answer in the box.x =
3rd picture: what is the value of x? enter your answer in the box.x =

In first picture,

m∠C = m∠B

⇒ AC = AB

⇒ x + 9 = 2x - 8

⇒ x - 2x = -8 - 9

⇒ -x = -17

⇒ x = 17

Hence, the length of BC = x = 17 units,

In second picture,

m∠A = m∠B = m∠C

⇒ Triangle ABC is an equilateral triangle,

⇒ AB = BC = CA

⇒ 4x - 10 = 5x - 22 = 3x + 2

When,

⇒ 4x - 10 = 5x - 22

⇒ 4x - 5x = -22 + 10

⇒ -x = -12

⇒ x = 12

Hence, the value of x is 12.

In third picture,

LN = LM = NM

The triangle LMN is an equilateral triangle,

⇒ m∠L = m∠M = m∠N = 60°

⇒  m∠L= 60°

⇒ 7x - 3 = 60

⇒ 7x = 63

⇒ x = 9

Hence, the value of x is 9.

x= 149. 24+7=31. 180-31=149

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