Question

Find the value of x. A) 21 B) 27 C) 31 D) 34

Answer 1

The answer is a, 21. 21x3 is 63. 63 + 1 = 64.

Answer 2

Answer: A) 21

Step-by-step explanation:

From the given figure, we can see that angles $64^{\circ}$ and $(3x+1)^{\circ}$ are vertically opposite angles.

Since, vertically opposite angles are equal, therefore we have

$64^{\circ}=(3x+1)^{\circ}\\\\\Rightarrow64=3x+1\\\\\text{Subtract 1 on both sides, we get}\\\\\Rightarrow3x=63\\\\\text{Divide 3 on both sides, we get}\\\\\Rightarrow x=21$

Hence, the value of x = 21.