ANSWERS:
[tex]\blue{\overline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}[/tex]
ACT ON.
1. What is the relationship between [tex]\rm \angle a[/tex] and [tex]\rm \angle b[/tex]?
• They are adjacent angles and forms a right angle, thus, their sum measures 90°.
2. How about [tex]\rm \angle DXY[/tex] and [tex]\rm \angle b[/tex]?
• The given angles forms a linear pair.
3. If [tex]\rm m\angle a =53°[/tex], what is the measure of [tex]\rm \angle b[/tex]?
• Angle b measures [tex]\rm 90°-53°=37°.[/tex]
4. If [tex]\rm m\angle a =53°[/tex], what is the measure of [tex]\rm \angle YXC[/tex]?
• Angle YXC measures [tex]\rm 180°-53°=127°.[/tex]
5. If [tex]\rm m\angle b =41°[/tex], what is the measure of [tex]\rm \angle a[/tex]?
• Angle a measures [tex]\rm 90°-41°=49°.[/tex]
6. What is the measure of [tex]\rm \angle DXA[/tex]?
• Angle DXA measures 90° since angles DXA and BXC are vertical angles.
7. Give two congruent angles.
• [tex]\rm \angle DXA[/tex] and [tex]\rm \angle BXC[/tex]
• [tex]\rm \angle BXA[/tex] and [tex]\rm \angle DXC[/tex]
8. Give two complementary angles.
• [tex]\rm \angle a[/tex] and [tex]\rm \angle b[/tex]
9. Give two supplementary angles.
• [tex]\rm \angle a[/tex] and [tex]\rm \angle YXC[/tex]
• [tex]\rm \angle DXA[/tex] and [tex]\rm \angle AXB[/tex]
10. Give two vertical angles.
• [tex]\rm \angle DXA[/tex] and [tex]\rm \angle BXC[/tex]
• [tex]\rm \angle BXA[/tex] and [tex]\rm \angle DXC[/tex]
[tex]\blue{\overline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}[/tex]
