Answered

At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Discover in-depth solutions to your questions from a wide range of experts on our user-friendly Q&A platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

I need help with this please

I Need Help With This Please class=

Sagot :

coolstick

Answer:

∠BIF = 126°

∠JBC = 63°

∠BJD = 117°

Step-by-step explanation:

adjacent angles in a rhombus add up to 180°

∠IBJ and ∠BIF are adjacent angles in a rhombus

thus,

∠IBJ + ∠BIF = 180°

54° + ∠BIF = 180

subtract 54 from both sides to isolate the variable

∠BIF = 126°

a line is 180°

thus, ∠IBA + ∠IBJ + ∠JBC = 180° as those three angles form a line

as the parallelograms are congruent, and we can visually notice that ∠IBA corresponds to angle ∠JBC, we can say that ∠IBA = ∠JBC

thus,

∠IBA + ∠IBJ + ∠JBC = 180°

54° + ∠JBC + ∠JBC = 180°

54° + 2∠JBC = 180

subtract 54 from both sides to isolate the variable and its coefficient

126° = 2∠JBC

divide 2 from both sides to isolate the variable

∠JBC = 63°

adjacent angles in a parallelogram add up to 180°

∠JBC and ∠BJD are adjacent angles in a parallelogram

∠JBC + ∠BJD = 180°

63° + ∠BJD = 180°

subtract 63 from both sides to isolate the variable

∠BJD = 117°

Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.