In parallelogram WXYZ, with diagonal XZ, m∠WXZ = 81° and m∠WZX = 28°. What is the measure of ∠XYZ?
2 answers:
The measure of angle XYZ in the parallelogram is: 71°.
<h3>What are the Opposite Angles of a Parallelogram?</h3>In a parallelogram, the angles that are opposite each other are congruent.
Find m∠XWZ using the triangle sum theorem:
m∠XWZ = 180 - m∠WXZ - m∠WZX
m∠XWZ = 180 - 81 - 28
m∠XWZ = 71°
m∠XWZ = m∠XYZ [opposite angles are congruent]
m∠XYZ = 71°
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Answer:
is a factor of
Step-by-step explanation:
is a factor of
We will prove this with the help of principal of mathematical induction.
For n = 1, is a factor
, which is true.
Let the given statement be true for n = k that is is a factor of
.
Thus, can be written equal to
, where y is an integer.
Now, we will prove that the given statement is true for n = k+1
Thus, is divisible by
.
Hence, by principle of mathematical induction, the given statement is true for all natural numbers,n.