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
Goryan [66]
3 years ago
5

In triangle PQR, Line QS and line SR are angle bisectors to angle P (74 degrees). How many Degrees are in the angle QSR.

Mathematics
1 answer:
AlexFokin [52]3 years ago
4 0

we know that

<u>in the triangle PQR</u>

m∠PQR+m∠QPR+m∠QRP=180°------> the sum of the internal angles of a triangle is equal to 180 degrees

(m∠PQR+m∠QRP)+74°=180°-------> (m∠PQR+m∠QRP)=106°

we know that

If QS and SR are angle bisectors

then

<u>In the triangle QSR</u>

m∠SQR+m∠QSR+m∠QRS=180°-------> equation 1

and

(m∠SQR+m∠QRS)=106°/2--------> (m∠SQR+m∠QRS)=53°

substitute the value of (m∠SQR+m∠QRS)=53° in the equation 1

53°+m∠QSR=180°

m∠QSR=180°-53°-------->m∠QSR= 27°

therefore

<u>the answer is</u>

The measure of angle QSR is  27 degrees

You might be interested in
Solve x2 - 8x = 20 by completing the square. Which is the solution set of the equation?
Artyom0805 [142]

Answer:

{-2,10}

Step-by-step explanation:

x^2 - 8x = 20

Take the coefficient of x

-8

Divide by 2

-8/2 =-4

Square it

(-4)^2 =16

Add this to each side

x^2 - 8x+16 = 20+16

x^2 - 8x+16 = 36

The left hand side becomes( x + (-8/2) )^2

(x - 4)^2 = 36

Take the square root of each side

sqrt((x - 4)^2) =±sqrt( 36)

x-4 = ±6

Add 4 to each side

x-4+4 = 4±6

x = 4±6

x = 4+6       x = 4-6

x = 10        x = -2

3 0
3 years ago
Subtract.<br> (6x + 5) - (x + 3)<br> A. 5x + 2<br> B. 6x + 2<br> C! 6x + 8<br> D. 5x + 8
Natali [406]

Answer: 5x + 2

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
A triangle has sides 11 cm, 16 cm and 7 cm. the largest angles has size of x. calculate X. Round your answer to the nearest degr
marishachu [46]

Answer:

124°

Step-by-step explanation:

cos X = (11²+7²-16²)/2(11)(7)

= (121+49-256)/154

= -86/154

= -0.5584

X = cos~¹ -0.5584 = 124°

4 0
3 years ago
The Jennings family paid $371.40 for the year for their cable service. If their payments were the same each month, how much was
liberstina [14]

Answer:

$30.95

Step-by-step explanation:

There are 12 months in a year. $371.40 divided by 12 gives us $30.95.

3 0
3 years ago
Read 2 more answers
Does anyone know the answer?
SSSSS [86.1K]

Answer:

12

Step-by-step explanation:

a2+b2=c2 since the hypotenuse is 13 you would square it to get 169 and then you would square 5 and get 25 you would subtract 169-25 and get 144 then you would square root that number and get 12 so then your answer is 12 in.

5 0
3 years ago
Other questions:
  • your friend purchased a medium pizza for $10.31 with with a 30% off coupon. What is the price of a medium pizza without a coupon
    14·1 answer
  • Translate the given statement into a linear equation in the form ax + by = c using the indicated variable names. Do not try to s
    8·1 answer
  • Write an equation that gives the proportional relationship of the graph. A) y = 1 8 x B) y = 8x C) y = 9x D) y = 72x
    13·2 answers
  • Find the exact value of cos theta​, given that sin thetaequalsStartFraction 15 Over 17 EndFraction and theta is in quadrant II.
    15·1 answer
  • PLZ help me in 5 mins!
    7·2 answers
  • suppose a parabola has an axis of symmetry at x = -8, a maximum height of 2, and passes through the point (-7, -1). Write the eq
    15·1 answer
  • What's the circumference of a<br> circle with a diameter of 31 inches?<br> Use 3.14 for pi.
    13·2 answers
  • Parametric equation of the line d: 4x-3y+17=0
    14·1 answer
  • PLS HELP FAST!
    7·1 answer
  • Send help lol confused
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!