1: Find the value of x in the figure answer 40 is correct.
2: Which word best compliments this statement (adjacent angles are ___ congruent) answer is sometimes
3: which angle is adjacent to AFB
Answer AFE
4: name an angle vertical to TPQ
Answer UPR
5: if UPT = 48, what is the measure of RPU answer 132
To find the value of x in the given figure (question 1), more context or a visual representation of the figure would be required. However, assuming there is an accompanying figure showing the relationships between angles or sides, you can use the following steps to solve for x:
1. Identify any relevant geometric properties or theorems applicable to the figure, such as angle relationships or side lengths.
2. Use those properties or theorems to set up an equation or system of equations involving x.
3. Solve the equation or system of equations.
4. Substitute the value of x back into the figure to verify if it satisfies the conditions.
Regarding question 2, to determine which word best completes the statement "adjacent angles are ___ congruent," you would need to understand the concept of adjacent angles. Adjacent angles are angles that share a common vertex and a common side. Based on this definition, adjacent angles can be either congruent or supplementary (add up to 180 degrees). However, the word "sometimes" does not accurately complete the statement since adjacent angles are not always congruent. Instead, the correct word to complete the statement is "always," as adjacent angles share a common side and therefore have the same measure.
In question 3, you are asked to identify the angle adjacent to angle AFB. To determine the adjacent angle, you would need to look at the figure or diagram provided. Locate angle AFB and identify the angle that shares a common vertex and a common side with it. Based on the information given, angle AFE is adjacent to angle AFB.
Moving on to question 4, you are asked to name an angle that is vertical to angle TPQ. Vertical angles are pairs of angles that are formed by intersecting lines and are opposite each other. In this case, you would need to locate angle TPQ and identify its vertical angle. The angle vertical to TPQ can be named UPR.
Finally, in question 5, you are given the measure of angle UPT as 48 degrees and asked to find the measure of angle RPU. To do so, you would need to understand the concept of vertically opposite angles. Vertically opposite angles are created when two lines intersect, and they are congruent to each other. Therefore, since UPT and RPU are vertical angles, their measures are equal. If UPT is 48 degrees, then the measure of RPU would also be 48 degrees.