ACT ON
Given the figure at the right, answer the following:
1. What is the relationship between ∠a and ∠b?
2. How about ∠DXY and ∠b?
3. If m∠a = 53°, what is the measure of ∠b?
4. If m∠a = 53°, what is the measure of ∠YXC?
5. If m∠b = 41°, what is the measure of ∠a?
6. What is the measure of
∠DXA?
7. Give two congruent angles.
8. Give two complementary angles.
9. Give two supplementary angles.
10. Give two vertical angles.
[tex]\tt{ \green{n} \orange{o} \red{n} \blue{s}e \pink{n} \purple{s} \green{e} \red{ = } \red{r} \blue{e} \pink{p} \purple{o} \green{r} \orange{t} \purple{e} d}[/tex]
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ANSWERS
ACT ON
Given the figure at the right, answer the following:
1. What is the relationship between
and 
?
• Angles a and b are complementary. Their measures add up to 90° and they form a right angle.
2. How about
and 
?
• Angles DXY and b are supplementary. Their measures add up to 180° and they form a straight angle.
3. If
, what is the measure of 
?
• The measure of
is 37°.
• Since angles a and b are complementary, you just need to subtract 53° from 90° to get the value of angle b.
4. If
, what is the measure of 
?
• The measure of
is 127°.
• Since angles a and XYC are supplementary, you just need to subtract 53° from 180° to get the value of angle YXC.
5. If
, what is the measure of 
?
• The measure of
is 49°.
• Since angles a and b are complementary, you just need to subtract 41° from 90° to get the value of angle b.
6. What is the measure of
?
• The sum of all the angles is 360°. If there are four angles and one of them is a right angle, then the others are right angles also. Thus,
measures 90°.
7. Give two congruent angles.
•
and 
•
and 
8. Give two complementary angles.
•
and 
•
and 
9. Give two supplementary angles.
•
and 
•
and 
•
and 
•
and 
10. Give two vertical angles.
•
and 
•
and 