Question

Find x
ABC is a straight line
​

Answer 1

Answer:

ABC is straight line my friend but X value is different than 2x+ 10m and 13x

Answer 2

❄️ Given :

• Angle ABM = 2x + 10
• Angle CBM = 3x
• Find the value of x

❄️ Solution :

We know that,

Angles on a straight line add up to 180°.

$\tt \purple{ \angle ABM \: + \: \angle CBM \: = \: 180 \degree} \\ \\ \tt \pink{ \twoheadrightarrow \: (2x + 10) + 3x = 180 \degree } \\ \\ \tt \pink{ \twoheadrightarrow \: 5x + 10 = 180 \degree} \\ \\ \tt \pink{ \twoheadrightarrow \: 5x =180 - 10 } \\ \\ \tt \pink{ \twoheadrightarrow \: x = \frac{170}{5} } \\ \\ \tt \purple{ \twoheadrightarrow \:x = 34 \degree }$

❄️ Verification :

∠ABM + ∠CBM = 180°

(2x + 10) + 3x = 180°

Now, substituting value of x as 34°

So,

[2(34°) + 10] + 3(34°) = 180°

68° + 10 + 102° = 180°

180° = 180°

.°. LHS = RHS

Hence, verified.

So, the value of x = 34°