In 1519 Ferdinand Magellan set sail with 5 ships on the first voyage around the
1 answer:
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So, the triangle is equilateral, all its sides are equal⇒
AB=BC=AC=8
In an equilateral triangle, the height is also the median, so it divides the sides into 2 equal parts⇒
AO=OC=8:2=4
by the Pythagorean theorem
Answer: BO=4√3
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<u>Given</u>:
The exterior angle P is 74°
The measure of ∠PRQ is 51°
We need to determine the measure of ∠PQR
<u>Measure of ∠QPR:</u>
From the figure, it is obvious that P is the intersection of the two lines.
The angle 74° and ∠QPR are vertically opposite angles.
Since, vertically opposite angles are always equal, then the measure of ∠QPR is 74°
Thus, the measure of ∠QPR is 74°
<u>Measure of ∠PQR:</u>
The measure of ∠PQR can be determined using the triangle sum property.
Thus, we have;
Substituting the values, we get;
Thus, the measure of ∠PQR is 55°
Hence, Option B is the correct answer.