Mrs. Simmons gave a history test worth 92 points. There were only two types of questions on it: 2-point true/false questions and
1 answer:
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Angle O=64
Side m=7.3159882(rounded if needed)
Side n=16.68902(round if needed)
We are given
Angle M which equal 26.
Angle N equals 90 degrees
Side MN which equal 15.
We are asked to find all the missing elements of the triangle.
- Angle O can be found using triangle interior theorem so we can add 90+26+x =180 to find the value that satisfies the x value.
Angle O=64 degrees
We can find side m by doing law of sines.
which is 7.315(round if neeeded).
We can find side n using pythagorean theorem,
Side n=16.689(round if needed)
Answer:
Vertical angles are always congruent.
Step-by-step explanation:
Vertical angles are formed when two straight lines intersect each other, thereby forming two pairs of opposite angles, which are called vertical angles. Thus, a pair of these vertical angles formed are congruent to each other. So therefore, if two angles are said to be vertical angles, it follows that they are congruent to each other.
Using the diagram attached below, we can see two straight lines intersecting each other to form two pairs of vertical angles:
<a and <b,
<c and <d.
Thus, <a is congruent to <b, and <c is congruent to <d.
Therefore, the standby that is true about vertical angles is that:
Vertical angles are always congruent.
