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 t

Question

Sergeu [11.5K]

3 years ago

14

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 t

he value of x? 1. 25 2. 30 3. 40 4. 46

Mathematics

1 answer:

Allisa [31] · Answer 1 · 2022-08-10T00:39:52+03:00

Allisa [31]3 years ago

7 0

The answer is option "3, 40".

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

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 t

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 t