3. The Right Angles Congruence Theorem states that all right angles are congruent due to a right angle's very specific definition which says that only angles with 90° measure are considered as a right angle. So, in this problem, since one angle measures 90° and the lines are perpendicular, then the other angles are 90°.
4. A linear pair is both adjacent and supplementary. Adjacent kasi magkatabi ang dalawang angles and supplementary kasi ang sum ng dalawang adjacent angles ay laging 180° o supplementary.
5. By definition na lang siguro ito. No need for explanation.
6. Lahat ng pairs of angles d'yan sa figure ay pareho ang measures maliban sa letter D na supplementary angles.
7. Since linear pairs ang angles 5 and 6, ang combined measures nila ay dapat 180°. Ito ang solution nito.
8. Vertical angles are equal in measures, so...
m∠5 = m∠8
9. Complementary angles are angles that have a combined measure of 90°. Since may nahati na line sa 90° which formed ∠2 and ∠3, masasabi natin na complementary angles and angles 2 at 3.
10. By definition lang ito. No explanation needed.
Answers & Comments
Verified answer
Answer:
2. Kulang ang given, kaya hindi 'yan masasagutan.
3. C
4. C
5. B
6. D
7. D
8. B
9. B
10. D
Explanation:
3. The Right Angles Congruence Theorem states that all right angles are congruent due to a right angle's very specific definition which says that only angles with 90° measure are considered as a right angle. So, in this problem, since one angle measures 90° and the lines are perpendicular, then the other angles are 90°.
4. A linear pair is both adjacent and supplementary. Adjacent kasi magkatabi ang dalawang angles and supplementary kasi ang sum ng dalawang adjacent angles ay laging 180° o supplementary.
5. By definition na lang siguro ito. No need for explanation.
6. Lahat ng pairs of angles d'yan sa figure ay pareho ang measures maliban sa letter D na supplementary angles.
7. Since linear pairs ang angles 5 and 6, ang combined measures nila ay dapat 180°. Ito ang solution nito.
8. Vertical angles are equal in measures, so...
m∠5 = m∠8
9. Complementary angles are angles that have a combined measure of 90°. Since may nahati na line sa 90° which formed ∠2 and ∠3, masasabi natin na complementary angles and angles 2 at 3.
10. By definition lang ito. No explanation needed.