Question

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

Answer 1

x+90+61=180 ( the sum of the three angles in a triangle is 180 °)

x+151=180°
x=180-151
x=29°

Answer 2

The correct option is 2.

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

`x+90+61=180`

`x+151=180`

Subtract 151 from both sides.

`x=180-151`

`x=29`

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