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

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.