Answered

Discover the answers to your questions at Westonci.ca, where experts share their knowledge and insights with you. Join our platform to connect with experts ready to provide precise answers to your questions in various areas. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

Given that QRST is a parallelogram, find the angle measures:

Given That QRST Is A Parallelogram Find The Angle Measures class=

Sagot :

thishigopal

Answer:

below

Step-by-step explanation:

consecutive angles are supplementary in parallelogram

q+t = 180

3x+5+9x-17 = 180

12x-12 = 180

x-1 = 15

x=16

r=t = 127°

q=s = 53°

StudiousStud3nt

Answer:

Angle R is 127 degrees and Angle S is 53 degrees

Step-by-step explanation:

We know that adjacent angles in a parallelogram are supplementary, meaning that they add up to 180 degrees.

With this, we can create an equation to solve for x with the values given for Q and T

Q+T = 180

(3x+5)+(9x-17) = 180

12x -12 = 180

12x = 192

x = 16

Now we can find the angles of Q and T given the value of x

Q = (3x+5)

Q = (3*16+5)

Q = 53 degrees

T = (9x-17)

T = (9*16-17)

T = 127 degrees

Since opposite angles in a parallelogram are congruent,

angle S = angle Q and angle R = angle T

We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.