So the problem is now an algebraic one, where we’re looking to solve this linear equation. So we’ve answered the first part of the question, and now we need to go on and answer the second part of the question, which asked us to find the value of □, or, in other words, solve this equation. And there is our unsimplified equation that we can use in order to calculate □. So we have that 15□ plus 50 is equal to five □ plus 60. Well, if vertically opposite angles are equal to each other, then these two expressions for the angles must also be equal to each other. So this gives us an idea for how to answer the first part of the question: form an equation that will allow you to calculate □. In order to answer this question, we need to remember a key fact about vertically opposite angles, which is that vertically opposite angles are equal to each other. However, we’re interested in the pair of angles marked in blue, and also now in orange. There is also another pair of vertically opposite angles in the diagram, the pair of angles that I’ve marked in green. These are the pair of angles opposite one another when a pair of straight lines intersect. And by looking at the diagram, we can see that the two angles that have been labelled are a particular type of angles that was referred to as vertically opposite angles. The diagram consists of a pair of straight lines, which intersect. We need to use some angle facts in order to first form an equation and then solve our equation in order to find the value of □. And by looking at the diagram, we can see that two of the angles have been labelled in terms of this variable □. So within this question, we’ve been given a diagram. Firstly, form an equation that will allow you to calculate □. For example, if a vertical angle equals 2x and the other equals 90 - x, we would simply form an equation 2x = 90 - x.Answer the following questions using the given diagram. Vertical angles are congruent, or we can say they have same measure. How Do You Solve for x in Vertical Angles?
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