angle W=80
angle WXZ=100
angle Z=80
and angle WYZ=100
Step-by-step explanation:
First we can find the measure of angle W since WZX is a triangle and we know the angles of a triangle =180
<1 + <3 + W =180
30 + 70 + W = 180
100 + W = 180
W = 80 degrees
Since this is a parallelogram
We know that <1 = <4 = 30 since they are alternate interior angles
And <2 = <3 = 70 since they are alternate interior angles
We know WXZ = <1 + <2 = 30 +70 = 100
We know WYZ = <3 + <4 = 70 +30 = 100
We also know that opposite angles in a parallelogram are equal so <W = <Z = 80
angle W=80
angle WXZ=100
angle Z=80
and angle WYZ=100
Step-by-step explanation:
First we can find the measure of angle W since WZX is a triangle and we know the angles of a triangle =180
<1 + <3 + W =180
30 + 70 + W = 180
100 + W = 180
W = 80 degrees
Since this is a parallelogram
We know that <1 = <4 = 30 since they are alternate interior angles
And <2 = <3 = 70 since they are alternate interior angles
We know WXZ = <1 + <2 = 30 +70 = 100
We know WYZ = <3 + <4 = 70 +30 = 100
We also know that opposite angles in a parallelogram are equal so <W = <Z = 80
W and Y = 91. X and Z = 89
Step-by-step explanation:
Those two angles will add to 180.
5a - 21 + 3a + 25 = 8a + 4
8a + 4 = 180
8a = 176
176 / 8 = 22 = a
Plug in a for an angle.
3(22) + 25 = 91
180 - 91 = 89
The correct angle measures are: m∠X = 55°
, m∠W = 125° and m∠Z = 55°
The measure of angle Y is given as:
The opposite angles of a parallelogram are equal.
This means that, angles W and Y have equal measures
So, we have:
The adjacent angle of a parallelogram add up to 180 degrees.
So, we have:
Angles X and Z are equal because they are opposite angles.
So, we have:
Hence, the correct angle measures are: m∠X = 55°
, m∠W = 125° and m∠Z = 55°
Read more about parallelograms at:
link
Answer: the correct answer is:
m∠X=55°;
m∠Z=55°;
m∠W=125°.
Explanation:
We know that consecutive angles of a parallelogram are supplementary.
As m∠Y=125°.
Hence, by the above property we have:
m∠Y+m∠X=180°;
125°+m∠X=180°;
Hence, m∠X=180°-125°;
m∠X=55°.
Also,
m∠Y+m∠Z=180°;
125°+m∠Z=180°;
m∠Z=180°-125°;
m∠Z=55°.
Also, m∠Z+m∠W=180°;
55°+m∠W=180°;
m∠W=180°-55°;
m∠W=125°.
W and Y = 91. X and Z = 89
Step-by-step explanation:
Those two angles will add to 180.
5a - 21 + 3a + 25 = 8a + 4
8a + 4 = 180
8a = 176
176 / 8 = 22 = a
Plug in a for an angle.
3(22) + 25 = 91
180 - 91 = 89
Hence, the correct answer is:
m∠X=55°m∠Z=55°m∠W=125°Step-by-step explanation:
We know that consecutive angles of a parallelogram are supplementary.
As m∠Y=125°.
Hence, by the above property we have:
m∠Y+m∠X=180°
125°+m∠X=180°
Hence, m∠X=180°-125°
⇒ m∠X=55°
Also,
m∠Y+m∠Z=180°
⇒ 125°+m∠Z=180°
⇒ m∠Z=180°-125°
⇒ m∠Z=55°
Also, m∠Z+m∠W=180°
⇒ 55°+m∠W=180°
⇒ m∠W=180°-55°
⇒ m∠W=125°
The correct angle measures are: m∠X = 55°
, m∠W = 125° and m∠Z = 55°
The measure of angle Y is given as:
The opposite angles of a parallelogram are equal.
This means that, angles W and Y have equal measures
So, we have:
The adjacent angle of a parallelogram add up to 180 degrees.
So, we have:
Angles X and Z are equal because they are opposite angles.
So, we have:
Hence, the correct angle measures are: m∠X = 55°
, m∠W = 125° and m∠Z = 55°
Read more about parallelograms at:
link
length of segment YZ is 8 cm
Step-by-step explanation:
given data
AB = 16 cm
DA = 3 cm
AB and DA form interior angle = 45-degre
WX ≠ YZ
WX = 16 cm
to find out
length of segment YZ
solution
area of △ABD is the same as the area of △BCD
and
area of △ABD is express as
area of △ABD = AB × AD × sin(45) ÷ 2 ............1
put here value
area of △ABD = 16 × 3√2 × sin(45) ÷ 2
area of △ABD = 24
and
area of the parallelogram is
area of the parallelogram = 24 × 2
area of the parallelogram = 48
so
now we will consider here YZ = x
and Since ZY XW is isosceles trapezoid
so here we can say that
WM = ZM = (16 - x) ÷ 2 .......................2
so area of trapezoid will be
area of trapezoid = .......................3
area of trapezoid =
48 =
solve it we get
x = 8
so length of segment YZ is 8 cm
It will provide an instant answer!