Math, asked by murllisalne526, 2 months ago

Find the unknown angles marked in each of the following figures.

If you know then only answer.

✔️ Correct answer will be marked as brain list.
❎ Wrong answer will be marked as brain list. ​

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Answers

Answered by MrBrainForYou
20

Answer:

(I) x° + 80° + 25° = 180°

x° = 180° - 105°

x° = 75°

(ii) 2x + 6x + x = 180°

9x = 180°

x = 20°

all angles are 20°,120°,40°.

(iii) x + x + 40° = 180°

2x + 40° = 180°

2x = 180 - 40

2x = 140°

x = 70°

all angles are 70°,70°,40°.

(iv) 3x + 2x + 90° = 180°

5x + 90° = 180°

5x = 180° - 90°

5x = 90°

x = 18°

all angles are 18°,36°,54°.

(v) angle BAC = 70° ( exterior angle property)

Now, we know that the exterior angle of any ∆ is equal to the sum of its opposite two interior angles.

So, According to this,we have

➡️ x° + 70° = 120°

➡️ x° = 120° - 70°

➡️ x° = 50°

(vi) In ∆ ABC,

➡️ 75° + 65° + angle ACB = 180°

➡️ 140° + ACB = 180°

➡️ ACB = 180° - 140°

➡️ ACB = 40°

Now, Angle ACB = Angle DCE

➡️ 40° = 40°

By using Angle sim property of triangle,we have

In ∆ DCE,

➡️ x° + 110° + 40° = 180°

➡️ x° = 180° - 150°

➡️ x° = 30°

Murli Bro , Please Mark as Brainliest ☑️

Answered by rvnehaa
1

Answer:

Step-by-step explanation:

2+44x2

Thrice the number 3+

5+44x2

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