Answer: The correct option is (D) 22.
Step-by-step explanation: We are given to find the value of x from the given figure.
From the figure, we see that a triangle is shown where the measure of an external angle is (6x + 1)° and the measures of the two remote interior angles are 79° and (2x + 10)°.
Since the sum of the measures of two remote interior angles of a triangle is equal to the measure of the external angle, so we get
[tex]79^circ+(2x+10)^\circ=(6x+1)^\circ\\\\\Rightarrow 79+2x+10=6x+1\\\\\Rightarrow 6x-2x=88\\\\\Rightarrow 4x=88\\\\\Rightarrow x=\dfrac{88}{4}\\\\\Rightarrow x=22.[/tex]
Thus, the required value of x is 22.
Option (D) is CORRECT.
