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For numbers 1-5, refer on the figure at the right.
1. Find the measure of x.
2. Find the measure of y.
3. What is the measure of ∠DGB?
4. What is the measure of ∠FGD?
5. Are ∠FGA and ∠x complementary angles? (Yes/No).
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TRY MORE:
For numbers 1-5, refer on the figure at the right.
ANSWERS:
1. Find the measure of x.
• Since opposite angles are congruent, the measure of angles FGA and EGB are the same. If angle EGB measures 73° and angle EGB is a complement angle of angle x, then the measure of x can be obtained after you subtract 73° from 90°.
• The measure of angle x is 17°.
2. Find the measure of y.
• Opposite angles are congruent. Since angle AGC forms a right angle and is opposite to angle y, then angle y is also a right angle.
• The measure of angle y is 90°.
3. What is the measure of
?
• Angle DGB forms a right angle and is just the same with angle y.
• Thus, the measure of
is 90°.
4. What is the measure of
?
• Angle FGD is an angle opposite to angle x. If angle x measures 17°, then angle FGD measures 17° also.
5. Are
and 
complementary angles? (Yes/No)
• Yes, they are complementary angles. Complementary angles are not always adjacent to each other but measures up to 90°.