Question

Find the size of each unknown angle in the given diagram.

Answer 1

Answer:

3x = 75° & x = 25°

Step-by-step explanation:

Here,

40° + 3x + 120° + x = 360° [ Since, full angle]

⇒40° + 120° + 3x + x = 360°

⇒160° + 4x = 360°

⇒4x = 360° - 160°

⇒x = 100°/4

⇒x = 25°

Hence, the unknown angles are :

• 3x = 3 × 25° = 75°
• x = 25°.

Answer 2

Step-by-step explanation:

Here Given angles are

• 40
• 120
• 3x
• x

As it is a complete angle

• Hence their sum will be 360

$\tt {:}\longrightarrow 40 + 120 + x + 3x = 360 \\ \tt {:}\longrightarrow 160 + 4x = 360 \\ \tt {:}\longrightarrow 4x = 360 - 160 \\ \tt {:}\longrightarrow 4x = 200 \\ \tt {:}\longrightarrow x = \frac{200}{4} \\ \tt {:}\longrightarrow x = 50 \\ \tt {:}\longrightarrow 3x = 3 \times 50 = 150$