Question

before her family gathers for a diwali celebration, mrs. agarwal places three sticks of incense in a bowl of sand. the angles at which the sticks are leaning are shown below. what is the measure of angle x? the measure of angle x is . ° type the number in the box.

Explanation:

Step1: Recall angle - sum property

The sum of angles around a point is 360°.

Step2: Set up the equation

Let's assume the sum of the given angles and \(x\) is 360°. So, \(x + 63^{\circ}+26^{\circ}+31^{\circ}=360^{\circ}\).

Step3: Simplify the left - hand side

First, add the known angles: \(63 + 26+31=120^{\circ}\). The equation becomes \(x + 120^{\circ}=360^{\circ}\).

Step4: Solve for \(x\)

Subtract 120° from both sides of the equation: \(x=360^{\circ}-120^{\circ}\).

Answer:

240