Prove: Quadrilateral ABCD is a parallelogram.
1 answer:
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.
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Step-by-step explanation:
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Answer:
m∠EFH = 21°
m∠EFG = 83°
Step-by-step explanation:
We know that m∠EFH + m∠HFG will be equal to m∠EFG.
Since we know the values of each, we can make the equation:
Let's solve for x by isolating it on one side.
Combine like terms:
Subtract 11 from both sides:
Subtract 5x from both sides:
Divide both sides by 13:
Now that we know the value of x, we can substitute it inside the formulas for m∠EFH and m∠EFG.
m∠EFH:
m∠EFG:
Hope this helped!