Question

Find ∠BCD
A)60
B)20
C)80
D)120

Answer 1

• We know : The exterior angle is equal to the sum of two non-adjacent interior amhles. Set up an equation and solve for x :

`\longrightarrow \tt5x + 10 = 3x + 3x`

`\longrightarrow \tt \: 5x + 10= 6x`

`\longrightarrow \tt10 = 6x - 5x`

`\longrightarrow \tt \: 10 = x`

Replacing value :

✯
`\tt m \: \angle \: \: BCD = 5 * 10 + 10 = \boxed{ \tt{60}}`

• Our Final answer is 60 .

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