Question

What is the value of X? X=2.25 X=11.25 X=13 X=22

Answer 1

(2x + 10) + (6x + 1) = 180 - 79

Answer 2

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

$79^circ+(2x+10)^\circ=(6x+1)^\circ\\\\\Rightarrow 79+2x+10=6x+1\\\\\Rightarrow 6x-2x=88\\\\\Rightarrow 4x=88\\\\\Rightarrow x=\dfrac{88}{4}\\\\\Rightarrow x=22.$

Thus, the required value of x is 22.

Option (D) is CORRECT.