Question

in the given figure find the value of x ​

Answer 1

From triangle, ABC

We know, Sum of interior angles of a triangle = 180°

∠A + ∠B + ∠C = 180°

30° + 45° + ∠C = 180°

∠C = 180° - 75°

∠ACB = 105°

Now,

∠ACB and ∠ACD are supplementary angles.

Therefore,

∠ACB + ∠ACD = 180°

110° + ∠ACD = 180°

∠ACD = 180° - 105°

∠ACD = 75°

Now, to find angle x

we know,

angle of exterior angle is equal to sum of 2 opposite and non-adjacent interior angles (from exterior angle Theorem) that is,

∠ACD + ∠EDC = x

75° + 20° = x

x = 95°

Therefore, the value of x is 95°.

Answer 2

Answer:

From triangle, ABC

We know, Sum of interior angles of a triangle = 180°

∠A + ∠B + ∠C = 180°

30° + 45° + ∠C = 180°

∠C = 180° - 75°

∠ACB = 105°

Now,

∠ACB and ∠ACD are supplementary angles.

Therefore,

∠ACB + ∠ACD = 180°

110° + ∠ACD = 180°

∠ACD = 180° - 105°

∠ACD = 75°

Now, to find angle x

we know,

angle of exterior angle is equal to sum of 2 opposite and non-adjacent interior angles (from exterior angle Theorem) that is,

∠ACD + ∠EDC = x

75° + 20° = x

x = 95°

Therefore, the value of x is 95°.

Step-by-step explanation:

Hope this answer will help you.