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Finding the Measure of Vertical Angles Using Algebra
Published on September 17, 2026
Geometry
Learn how to find the measure of vertical angles by setting up an algebraic equation using the given angle expressions. Step-by-step solution shows how to solve for x and calculate the final angle measure.
Question
Answer
Based on the image provided, here is the step-by-step solution for problem 10.
Problem 10:
If
If
Note: Looking at the diagram,
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Set up the equation for vertical angles:
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Solve for
: -
Find the measure of
: -
Determine the measure of
:
From the diagram, pointsand lie on a straight line. Therefore, and are supplementary, but the question asks for . Looking closely at the diagram, are collinear and are collinear. This makes and vertical angles. The angle is not directly defined by the intersection unless is a point on one of the lines. However, based on the handwritten work in the image, the intended goal was to find the measure of the angle calculated, which is . Assuming the question meant to ask for or :
Final Answer: