Math Problem Statement
Maria is studying two adjacent angles, P and Q. The sum of the angles is 180°, where the measure of angle P is (3x + 15)° and the measure of angle Q is 45°.
Which equation could be used to find x? A.3x + 15 + 45 = 180 B.45(3x + 15) = 90 C.3x + 15 + 45 = 90 D.3x + 15 = 45
Solution
Since the two adjacent angles and form a straight line, their sum is 180°. This relationship is represented mathematically by:
Given that:
\quad \text{and} \quad \text{Angle Q} = 45°$$ Substituting these values into the equation, we get: $$(3x + 15) + 45 = 180$$ Therefore, the correct answer is: **A. $$3x + 15 + 45 = 180$$** Would you like to see the detailed steps for solving for $$x$$ or have any other questions? ### Relative Questions: 1. How do you solve the equation $$3x + 15 + 45 = 180$$ to find $$x$$? 2. What does it mean for two angles to be adjacent? 3. What is the significance of the sum of adjacent angles being 180°? 4. Can you describe other scenarios where adjacent angles sum up to 180°? 5. What happens if two adjacent angles do not sum up to 180°? **Tip:** When dealing with adjacent angles, remember that they share a common side and their sum usually forms a straight line of 180°.Ask a new question for Free
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Math Problem Analysis
Mathematical Concepts
Algebra
Angle Properties
Linear Equations
Formulas
Sum of adjacent angles on a straight line equals 180°
Theorems
Supplementary Angles Theorem
Suitable Grade Level
Grade 6-8
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