Answered

Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Our platform offers a seamless experience for finding reliable answers from a network of experienced professionals. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

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 our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.