Angle pair relationships are a fundamental part of geometry, describing how angles relate to one another when lines intersect or when parallel lines are cut by a transversal. Key relationships include supplementary angles, which add up to 180 degrees, and vertical angles, which are congruent. When working with parallel lines, mathematicians identify corresponding, alternate interior, alternate exterior, and same-side interior angles to solve for unknown values and prove geometric properties.
رقم الاختبار978
الصفالصف التاسع المتقدم
المادةرياضيات
الفصلالفصل الثالث
السنة الدراسية2025/2026
عدد الأسئلة15
إجمالي النقاط15
تاريخ الإضافة2026-04-23
الزيارات18
المعلم أو الناشرAmal Salman
اختر إجابة واحدة لكل سؤال. عند الاختيار ستظهر النتيجة فورًا: الأخضر صحيح، والأحمر خطأ، وسيظهر تفسير الإجابة مباشرة إن كان متوفرًا. وبعد آخر سؤال ستظهر الدرجة النهائية تلقائيًا.
Question 1
Points: 1
Angles 4 and 1 are what angle pair?
Explanation
Angles 1 and 4 are adjacent and lie on a straight line, meaning they form a linear pair and are therefore supplementary.
Question 2
Points: 1
Find angle 1 if angle 2 = 36
Explanation
Angles 1 and 2 form a linear pair on a straight line, so their sum is \( 180^{\circ} \). If angle 2 is \( 36^{\circ} \), then angle 1 is \( 180 - 36 = 144 \).
Question 3
Points: 1
What angle pair is represented?
Explanation
The highlighted angles are on the same side of the transversal and are both outside the two parallel lines.
Question 4
Points: 1
What angle pair is represented?
Explanation
The angles are located on the same side of the transversal and between the two parallel lines.
Question 5
Points: 1
What angle pair is represented?
Explanation
The angles are on opposite sides of the transversal and both are outside the parallel lines.
Question 6
Points: 1
What angle pair is represented?
Explanation
The angles are opposite each other at the vertex where two lines intersect.
Question 7
Points: 1
What angle pair is represented?
Explanation
The angles are positioned on alternate sides of the transversal and in the exterior region of the parallel lines.
Question 8
Points: 1
What angle pair is represented?
Explanation
The angles are on opposite sides of the transversal and are inside (between) the parallel lines.
Question 9
Points: 1
What angle pair is represented?
Explanation
The angles occupy the same relative position at each intersection where the straight line crosses the parallel lines.
Question 10
Points: 1
What angle pair is represented?
Explanation
These angles are on the same side of the transversal and are located between the parallel lines.
Question 11
Points: 1
What angle pair is represented?
Explanation
The angles are on opposite sides of the transversal and inside the parallel lines.
Question 12
Points: 1
What angle pair is represented?
Explanation
The angles are formed by the intersection of two lines and are opposite one another at the vertex.
Question 13
Points: 1
Solve for x.
Explanation
The angles \( x \) and \( 62^{\circ} \) form a linear pair, so they are supplementary: \( x + 62 = 180 \), which gives \( x = 118 \).
Question 14
Points: 1
Solve for X.
Explanation
Angles \( X \) and \( 72^{\circ} \) are alternate interior angles. Since the lines are parallel, these angles are equal, so \( X = 72 \).
Question 15
Points: 1
Solve for X.
Explanation
The angles \( X \) and \( 74^{\circ} \) are same-side interior angles, which are supplementary: \( X + 74 = 180 \), so \( X = 106 \).
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