Question

What is the value of x? (x+16) (4x-5)​

Answer 1

Answer:

x = 7

Step-by-step explanation:

In the given figure the two angles are vertically opposite angles.

As we know that the value of opposite angles are equal. Therefore,

• (x+16) = (4x-5)
• x+16 = 4x-5
• x-4x = -5-16
• -3x = -21
• x = -21/-3
• x = 7

Thus, the value of x is 7

Answer 2

$▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

The value of x is equal to ~

$\boxed{7 \degree}$

$\large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}$

The given pair of angles form vertical opposite angles

so, they have equal measures !

that is ~

• $x + 16 = 4x - 5$

• $4x - x = 16 + 5$

• $3x = 21$

• $x = 21 \div 3$

• $x = 7$