arifkarimi4284 arifkarimi4284

04-01-2018
Mathematics

contestada

In ∆abc, m∠cab = 2x and m∠acb = x + 30. if line segment a b is extended through point b to point d, m∠cbd = 5x − 50. what is the value of x? 1. 25 2. 30 3. 40 4. 46

Respuesta :

ahmedishaal ahmedishaal

18-01-2018

The answer is option "3, 40".

m∠cab = 2x
m∠acb = x + 30
m∠cbd = 5x − 50
Now,
m∠cab + m∠acb = m∠cbd
2x+x+30 = 5x-50
2x+x-5x = -50-30
-2x = -80
x = 40

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