Carlitomoyajr21idn
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Sagot :

MissyArelleeeeeidn

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]

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