Answer:
- 109°, obtuse
- 131°, obtuse
- 53°, acute
- 124°, obtuse
Step-by-step explanation:
You are exected to know the relationships of angles created where a transversal crosses parallel lines.
- Corresponding angles are equal (congruent).
- Adjacent angles are supplementary, as are any linear pair.
- Opposite interior (or exterior) angles are equal (congruent).
The appearance of the diagram often gives you a clue.
You also expected to know the name (or category) of angles less than, equal to, or greater than 90°. Respectively, these are <em>acute</em>, <em>right</em>, and <em>obtuse</em> angles.
1. Adjacent angles are supplementary. The supplement of the given angle is 109°, so x will be obtuse.
2. Opposite exterior angles are equal, so y will be 131°. It is obtuse.
3. Opposite interior angles are equal, so w will be 53°. It is acute.
4. Corresponding angles are equal, so x will be 124°. It is obtuse.
Step 1
<u>Find the value of TS</u>
we know that
if PQ is parallel to RS. then triangles TRS and TPQ are similar
so
solve for TS
we have
substitute
Step 2
<u>Find the value of SQ</u>
we know that
we have
substitute
therefore
<u>the answer is</u>
the value of SQ is 
Answer:
30 inches
Step-by-step explanation:
Answer:
Step-by-step explanation:
a. This is a right triangle with two sides and one angle given.
-We apply Sine Rule to find the angle B:
-The sides given are 10and 17 and the right angle 90°
Hence the angle B is 36.03°
b.We again use the sine rule to obtain the unknown angle w:
-15 corresponds to 90° and 9 corresponds to w°
Hence, the measure of w is 36.87°
For
problem number 3, the answer is (3, 5). The correct answer between all
the choices given is the second choice or letter B.
For
problem number 5, the answer is median. The correct answer between all
the choices given is the third choice or letter C.
I am hoping that these answers
have satisfied your queries and it will be able to help you, and if you’d like,
feel free to ask another question.
