70019906
Answered

Discover answers to your questions with Westonci.ca, the leading Q&A platform that connects you with knowledgeable experts. Get immediate and reliable answers to your questions from a community of experienced professionals on our platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

I AM GIVING AWAY BRAINLIEST AND POINTS TO WHOEVER ANSWERED! PLEASE HELP!

The lengths of the diagonals of a rhombus are 2in. and 5in. Find the measures of the angles of the rhombus to the nearest degree.

Sagot :

chrisrainey

ANSWER: The four angles are:

136.4, 43.6, 136.4, and 43.6.

Draw a rhombus with the diagonals.

4 right triangles are formed.

The intersection of the diagonals of a rhombus form 90 degree (right) angles (property of a rhombus).

The diagonals of a rhombus bisect each other. This means that they cut each other in half.

So, each of the right triangles have one side = 1, one side = 2.5 and the hypotenuse = unknown (sides of the

rhombus).

Triangle 1. ABC

side a = 2.5, side b = 1

tan A = a/b = 2.5/1 = 2.5

tan A = 2.5

tan 68.2 deg = 2.5

Since, angle C = 90 and angle A = 68.2

angle B = 21.8 deg. (180 - (90 + 68.2))

Since the diagonals bisect angles in each corner of a rhombus (property of a rhombus), therefore, one corner angle is 68.2 + 68.2 = 136.4 deg. and the same side other corner angle is 21.8 + 21.8 = 43.6 deg.

Adjacent sides (ones next to each other) of a rhombus are supplementary. This means that their measures add up to 180 degrees.

Therefore, the opposite corners are

180 - 136.4 = 43.6 and

180 - 43.6 = 136.4.

So, the four angles are,

136.4, 43.6, 136.4, and 43.6

----------------------------------------------------------------------------------------------------------"The beautiful thing about learning is that no one can take it away from you"

B.B.King

Thanks!

Have a great day!

Mark me brainliest too!

~ms115~

We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.