Question

4. Find the value of x in the adjoining figure.​

Answer 1

Answer:

x=60

Step-by-step explanation:

50+70+x=180

120+x=180

x=180-120

x=60

Answer 2

Given:

∠A = 50°

∠B = 70°

To find:

The value of x.

Solution:

Sum of all angles of ΔABC = 180°

So,

∠A + ∠B + ∠ACB = 180°

50°+70°+∠ACB = 180°

120° + ∠ACB = 180°

∠ACB = 180°-120°

∠ACB = 60°

Now,

∠ACB+∠ACD = 180°                   [Since, both of these angles are adjacent and adjacent angles are supplementary]

And,

∠ACD = x

60°+∠ACD = 180°

∠ACD = 180°-60°

∠ACD = 120°

Final answer:

The value of x is 120°.

$\boxed {\sf {\red {NOTE:}}}$ Refer to the attached picture for a better understanding.