At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Get detailed and accurate answers to your questions from a community of experts on our comprehensive Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.
Sagot :
In a parallelogram, angles that are opposite each other (as in, in opposite corners) are congruent. Angles that are next to each other (as in, on the same side) are supplementary.
It is very easy to solve for the value of y first because the expression is across from a known angle. Because these angles are opposite each other, they are congruent.
83 = 5y - 7
90 = 5y
y = 18
We can also use the same 83 degree angle to solve for the other two variables. 83 is on the same side as both of the remaining expressions, separately. As such 83 and another angle on the same side will add up to 180.
83 + -5x - 3 = 180
80 - 5x = 180
-5x = 100
x = -20
83 + z - 7 = 180
90 + z = 180
z = 90
Hope this helps!
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.