Answer:
(a) AB = 13
(b) m∠F = 30°
Explanation:
(a) The triangle shown is an equilateral triangle, meaning all of its sides are the same length. We know this to be true because all of its angles are the same - 60°. So, if one side is 13, we know that all the sides have a measure of 13, and can thus say that AB = 13.
(b) In this triangle, the lines coming from angle E are the same length. Because of this, points F and D have the same measure. We already know the value of one point - E is 120. If all the angles in a triangle add up to 180, and we already know 120, we know that F and D have to have a value that, doubled, equals 60, since 180 - 120 is 60. 30 doubled is 60, so we know that the value of F is 30.
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