Use the relationship between the angles in the figure to answer the question. which equation can be used to find the value of x? x + 90 = 61 x + 90 + 61 = 180 x + 61+ 90 = 90 x + 61 = 180 three line making six angles with the leftmost angle at sixty one degrees the top right angle labeled with a square to indicate a right angle and the bottom middle angle labeled x degrees

The correct option is 2.

Step-by-step explanation:

Given information: Three line making six angles with the leftmost angle at sixty one degrees the top right angle labeled with a square to indicate a right angle and the bottom middle angle labeled X degrees.

Using the given information draw a diagram as shown below.

Two lines are perpendicular to each other because the angle between these two lines is 90°. It means vertical opposite angle of these two lines is 90°.

Now, angle x°, 90° and 61° are supplementary angles because all these angles lie on one side of a line.

The sum of supplementary angles is 180°. So the required equation is

Subtract 151 from both sides.

The required equation is x+90+61=180. Therefore the correct option is 2.

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