What is the length of AB? (Nearest TENTH) A.34 B.105.3 C.11.8 D.24.7
1 answer:
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Answer:
Step 3.
m∠ AEB = m∠ CED .........By Vertical Angles Theorem.
Step-by-step explanation:
Vertical Angles Theorem:
Vertical angle theorem states that vertical angles, angles that are opposite each other and formed by two intersecting lines,are congruent.
If two lines intersect each other we have two pair of vertical opposite angles. As shown in the figure.
Here,
∠ 1 and ∠ 2 are vertical opposite angles and also they are equal.
∠ 3 and ∠ 4 are also vertical opposite angles and also they are equal.
For,
step 3. m∠ AEB = m∠ CED
Therefore, the reason for step 3 of this proof is Vertical Angles Theorem.
Answer:
A
Step-by-step explanation:
We know that ∠ ≅ ∠
because they are vertical angles, so that's one pair of congruent angles. However, we can't compare ∠
and ∠
as they have different measures, so we'll have to find the measure of either ∠
or ∠
. Let's go with the former. Using the fact that the sum of the measures of the interior angles of a triangle is
°, we know that
∠
°. Now, we know that ∠
≅ ∠
because their measures are equal. That's another pair of congruent angles. Therefore, the angles are similar by
. Hope this helps!