The angle x is half the sum of the intercepted arcs, PQ and NO.
... (1/2)(65° + 45°) = 55° = x° = m∠PMQ
Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles. The correct option is A.
<h3>What are vertical angles?</h3>
Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles.
The proof can be completed as,
Given the information in the figure where segment UV is parallel to segment WZ.: Segments UV and WZ are parallel segments that intersect with line ST at points Q and R, respectively. According to the given information, segment UV is parallel to segment WZ, while ∠SQU and ∠VQT are vertical angles. ∠SQU ≅ ∠VQT by the Vertical Angles Theorem. Because ∠SQU and ∠WRS are corresponding angles, they are congruent according to the Corresponding Angles Theorem. Finally, ∠VQT is congruent to ∠WRS by the Transitive Property of Equality.
Hence, the correct option is A.
Learn more about Vertical Angles:
brainly.com/question/24460838
#SPJ1
Answer:
A
Step-by-step explanation:
Since each triangle is an equilateral triangle all side are the same length. Thus, one side is 15/3=5 inches. The perimeter of the entire figure would then be 3x6=18 since there are 6 sides.
He needs to finish 11/14, and he already finished 5/13, so the remaining required to finish is 11/14-5/13=143/182-70/182=73/182
