When a quadrilateral is inscribed in a circle, the opposite angles are supplementary
The description of the angles in the quadrilaterals are:
- b. m∠M = 55°, m∠J = 48°, and m∠L = 132°
- d. m∠L = 40°, m∠M = 60°, and m∠K = 120°
- e. m∠K = 72°, m∠L = 44°, and m∠M = 108°
- f. m∠J = 105°, m∠K = 65°, and m∠L = 75°
<h3>How to describe the angles</h3>
The quadrilateral is given as: JKLM
The opposite angles are:
- Angles J and L
- Angles K and M
The opposite angles are supplementary
So, we have:


Next, we test the options
<u>Option (a)</u>


This is not true
<u>Option (b)</u>


This is true
<u>Option (c)</u>


This is not true
<u>Option (d)</u>


This is true
<u>Option (e)</u>


This is true
<u>Option (f)</u>


This true
Hence, the description of the angles in the quadrilaterals are (b), (d), (e) and (f)
Read more about inscribed quadrilaterals at:
brainly.com/question/26690979
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:
brainly.com/question/13045673
#SPJ1
You just divide. 38÷12=3.166~ $3.17
Answer:
the answer is 6
Step-by-step explanation:
2x + 9 = 21
2x = 21 - 9
2x = 12
x = 6