1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
trasher [3.6K]
2 years ago
15

In the circle below, suppose m VUX = 152° and mZUVW = 77º. Find the following.

Mathematics
1 answer:
bezimeni [28]2 years ago
7 0

Given:

In the circle, m(\overarc{VUX})=152^\circ and m(\angle MUV)=77^\circ.

To find:

The following measures:

(a) m\angle VUX

(b) m\angle UXW

Solution:

According to the central angle theorem, the central angle is always twice of the subtended angle intercepted on the same same arc.

m(VUX)=2\times m\angle VWX

152^\circ=2\times m\angle VWX

\dfrac{152^\circ}{2}=m\angle VWX

76^\circ=m\angle VWX

In a cyclic quadrilateral, the opposite angles are supplementary angles.

UVWX is a cyclic quadrilateral. So,

m\angle VUX+m\angle VWX=180^\circ          [Opposite angles of a cyclic quadrilateral]

m\angle VUX+76^\circ=180^\circ

m\angle VUX=180^\circ-76^\circ

m\angle VUX=104^\circ

Now,

m\angle UXW+m\angle UVW=180^\circ          [Opposite angles of a cyclic quadrilateral]

m\angle UXW+77^\circ =180^\circ

m\angle UXW=180^\circ-77^\circ

m\angle UXW=103^\circ

Therefore, m\angle VUX=104^\circ  and m\angle UXW=103^\circ .

You might be interested in
If i bought 1,000,000 shares of a stock at 0.00002000 how much money would i have if it went up to 0.1? 100 POINTS
Alex73 [517]

Answer

If i bought 1,000,000 shares of a stock at 0.00002000 how much money would i have if it went up to 0.1? 100 POINTS

6 0
2 years ago
Find the area of each sector <br><br><br><br>3m <br>150°​
Oksanka [162]

Answer:

\frac{150}{360}  \times \pi \times {3}^{2}  \\ 2.4 \times \pi \times 9 = 11.780 {m}^{2}

7 0
3 years ago
Write the equation for the horizontal line that contains point G(3, 4).
andreev551 [17]
The answer to your question is c. y=4
3 0
3 years ago
Read 2 more answers
HELP FAST DUE IN TEN MINUTES!!
goldenfox [79]

Answer:

Someone is spending 80 cents daily from their bank account, starting out with $5.6

5 0
2 years ago
How can Doug use place value pattern to check his answer?
MAVERICK [17]
He can use it to make sure he lined his place values up properly
3 0
3 years ago
Other questions:
  • What is 26.833 rounded to the nearest thousandth?
    15·1 answer
  • Give me 10 cash amounts that total up to 16,100.00.
    6·1 answer
  • Help I keep getting an answer that is not an option
    6·1 answer
  • Two pounds of dried cranberries cost $5.04, 3 pounds of dried cranberries cost $7.56, and 7 pounds of dried cranberries cost $17
    9·1 answer
  • Help question 6 thx I will give brainlest whoever get it right first
    6·2 answers
  • 25 10^6 in standard form
    11·1 answer
  • Someone know how to do this Im very confusing about how to do it
    10·1 answer
  • X
    12·1 answer
  • -NEED AN ANSWER FAST-
    7·1 answer
  • GUYS I NEED HELP PLS HELP ME!! ,&gt;v&lt;,
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!