Solve Grade 7 Math, Page 45, Workbook 1, Connecting Knowledge Textbook: Special Angle Positions, Angle Bisector is an excellent study material for Lesson 1 in Chapter II according to the textbook curriculum. Students can refer to it for the best homework practice and to grasp the knowledge firmly.
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Solve Grade 7 Math, Page 45 Workbook 1, Connecting Knowledge Textbook
Special Angle Positions. Bisector Ray of an Angle
1. Solve Exercise 3.1 Page 45 Math Grade 7 Textbook
Problem: Given Figure 3.13, list the names of the pairs of adjacent supplementary angles.
Solution Overview:
Based on the definition to determine 2 adjacent supplementary angles: 2 angles with a common side, and the other two sides being opposite rays are called 2 adjacent supplementary angles.
Answer:
a) Angles xOm and xOn are 2 adjacent supplementary angles because these angles share the side Ox, with side Om being the opposite ray of On.
b) Angles AMB and CMB are 2 adjacent supplementary angles because these angles share the side MB, with side MA being the opposite ray of MC.
2. Solve Exercise 3.2 Page 45 Math Grade 7
Question: Given Figure 3.14, list the pairs of vertically opposite angles.
Solution Overview:
Vertically opposite angles are formed when two lines intersect, creating pairs of opposite angles that are equal.
Answer:
a) Angles xHy and mHt are vertically opposite because Hx and Hm are opposite rays; Hy and Ht are opposite rays.
Angles xHt and mHy are vertically opposite because Hx and Hm are opposite rays; Ht and Hy are opposite rays.
b) Angles AOB and COD are vertically opposite because OA and OC are opposite rays; OB and OD are opposite rays.
Two angles AOD and COB are vertical angles because OA and OC are opposite rays; OD and OB are opposite rays.
3. Solve Exercise 3.3 Page 45 Math Grade 7
Problem: Draw angle xOy with a measure of 60o. Draw ray Om as the opposite ray to ray Ox.
a) Name two adjacent supplementary angles in the figure just drawn.
b) Calculate the measure of angle yOm.
c) Draw ray Ot as the angle bisector of angle xOy. Calculate the measures of angles tOy and tOm.
Solution Guide:
* Draw the figure as described
a) Two angles with one common side, and the other two sides being opposite rays, are called adjacent supplementary angles.
b) To calculate angle yOm, we use the property: the sum of adjacent supplementary angles is 180 degrees.
Answer:
a) Angles x and are adjacent supplementary because they share the common side Oy, with side Om being the opposite ray of side Ox.
b) The angles and are adjacent supplementary, so we have:
4. Solve Exercise 3.4 Page 45 in Grade 7 Math Textbook
Solution Guide:
Using the property: The sum of two adjacent supplementary angles is 180 degrees.
Answer:
Since angles AMD and BMD are adjacent supplementary, it follows that:
5. Solve Exercise 3.5 Page 45 in Grade 7 Math Textbook
Solution Guide:
Using properties:
+ The sum of two adjacent supplementary angles is 180 degrees.
+ Two vertically opposite angles are equal.
Answer:
Solving Math for 7th grade on page 45 of Connect The Knowledge book 1 has provided detailed instructions, hoping students have reinforced their knowledge and completed the exercises for the Angle in Special Position topic and the Bisector of an angle easily.
The next task is as follows: - Solving Math for 7th grade on page 49 of Connect The Knowledge book 1 - Exercise 9: Two parallel lines and identification signs - Solving Math for 7th grade on page 50 of Connect The Knowledge book 1 - Focus practice on page 50
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