Answer:
The angles of a parallelogram are 135°-45°-135°-45°
Step-by-step explanation:
we know that
In a parallelogram opposites angles are congruent and consecutive angles are supplementary
Remember that
The sum of a exterior angle and its interior angle is equal to 180 degrees
Let
x ----> the measure of one interior angle of parallelogram
y ----> the measure of the other interior angle of parallelogram
we have that
solve for x

<em>Find the measure of the other interior angle of parallelogram</em>
Remember that consecutive interior angles are supplementary

substitute the value of x

solve for y

therefore
The angles of a parallelogram are 135°-45°-135°-45°
The measurement of ∠B is 168°
Given,
In the question:
Angle A and Angle B are supplementary angles.
If mA (x - 9)° and m/B= (7x + 21)°
To find the measure of ∠B
Now, According to the question;
What are supplementary angles?
Two angles are Supplementary when they add up to 180 degrees.
Now, ∠A+∠B = 180°
So,
⇒(x - 9)˚+(7x + 21)°=180°
=> 8x +12 = 180°
=> 8x = 180° - 12
=> 8x = 168
=> x = 168/8
=> x = 21
For the measure of ∠B :
∠B = (7x + 21)
∠B = 7 x 21 + 21
∠B = 168°
Hence, The measurement of ∠B is 168°
Learn more about Supplementary angles at:
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Answer:
13.5 hours
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Answer:
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Answer:
Either of ...
- (x, y) ⇒ (-x, -y)
- Rotation 180° about the origin
Step-by-step explanation:
There are at least two ways to express the transformation that maps each coordinate to its opposite.
1. reflection across the origin: (x, y) ⇒ (-x,-y)
2. rotation 180° (either direction) about the origin.
Take your pick.